Question 1 A particle (charge = +40 WC) is located on the x-axis at the point x = -20 cm, and a second particle (charge = -50 [C) is placed on the x-axis at x =+30 cm. What is the magnitude of the total electrostatic force on a third particle (charge = 04.0 [C) placed at the origin (x = 0)? Question 2 A particle (m = 50 g, q = 5.0 [C) is released from rest when it is 50 cm from a second particle (Q = 020 [C). Determine the magnitude of the initial acceleration of the 50-g particle. (Hint: Find the net force first, and then use Newton's Second Law of Motion to find a) Question 3 If a = 3.0 mm, b = 4.0 mm, Q, = 060 nC, Q, = 80 nC, and q = 30 nC in the figure, what is the magnitude of the electric force on q? Question 4 If Q =20 OC and L = 60 cm, what is the magnitude of the electrostatic force on any one of the charges shown? +QQ-....!...- Question 5 If a = 60 cm, b = 80 cm, Q = 04.0 nC, and q = 1.5 nC, what is the magnitude of the electric field at point P? Question 6 A +15-nC point charge is placed on the x axis at x = 1.5 m, and a 20-nC charge is placed on the y axis at y = 02.0m. What is the magnitude of the electric field at the origin?Question 1 A particle (charge = +40 WC) is located on the x-axis at the point x = -20 cm, and a second particle (charge = -50 [C) is placed on the x-axis at x =+30 cm. What is the magnitude of the total electrostatic force on a third particle (charge = 04.0 [C) placed at the origin (x = 0)? Question 2 A particle (m = 50 g, q = 5.0 [C) is released from rest when it is 50 cm from a second particle (Q = 020 [C). Determine the magnitude of the initial acceleration of the 50-g particle. (Hint: Find the net force first, and then use Newton's Second Law of Motion to find a) Question 3 If a = 3.0 mm, b = 4.0 mm, Q, = 060 nC, Q, = 80 nC, and q = 30 nC in the figure, what is the magnitude of the electric force on q? Question 4 If Q =20 OC and L = 60 cm, what is the magnitude of the electrostatic force on any one of the charges shown? +QQ-....!...- Question 5 If a = 60 cm, b = 80 cm, Q = 04.0 nC, and q = 1.5 nC, what is the magnitude of the electric field at point P? Question 6 A +15-nC point charge is placed on the x axis at x = 1.5 m, and a 20-nC charge is placed on the y axis at y = 02.0m. What is the magnitude of the electric field at the origin?Question 7 A particle (charge = +2.0 mC) moving in a region where only electric forces act on it has a kinetic energy of 5.0 J at point A. Subsequently, the particle passes through point B, which has an electric potential of +1.5 kV relative to point A. Determine the particle's kinetic energy as it moves through point B. Question 8 A particle (charge = 5.0 [C) is released from rest at x = 10 cm. If a 5.0-OC charge is held fixed at the origin, what is the particle's kinetic energy after it has moved 90 cm? Question 9 Three charged particles are positioned in the xy plane: a 50-nC charge at y = 6 m on the y axis, a 080-nC charge at x = 04 m on the x axis, and a 70-nc charge at y = 06 m on the y axis. What is the electric potential (relative to a zero at infinity) at the point x - 8 m on the x axis? Question 10 Four identical point charges (+6.0 nC) are placed at the corners of a rectangle which measures 6.0 m 0 8.0 m. If the electric potential is taken to be zero at infinity, what is the potential at the geometric center of this rectangle?Question 7 A particle (charge = +2.0 mC) moving in a region where only electric forces act on it has a kinetic energy of 5.0 J at point A. Subsequently, the particle passes through point B, which has an electric potential of +1.5 kV relative to point A. Determine the particle's kinetic energy as it moves through point B. Question 8 A particle (charge = 5.0 [C) is released from rest at x = 10 cm. If a 5.0-OC charge is held fixed at the origin, what is the particle's kinetic energy after it has moved 90 cm? Question 9 Three charged particles are positioned in the xy plane: a 50-nC charge at y = 6 m on the y axis, a 080-nC charge at x = 04 m on the x axis, and a 70-nc charge at y = 06 m on the y axis. What is the electric potential (relative to a zero at infinity) at the point x - 8 m on the x axis? Question 10 Four identical point charges (+6.0 nC) are placed at the corners of a rectangle which measures 6.0 m 0 8.0 m. If the electric potential is taken to be zero at infinity, what is the potential at the geometric center of this rectangle?LAB 4: Electric Field and Potential This is a virtual lab based on the interactive simulator Charges and Fields. Access the simulator at https://phet.colorado.edu/sims/html/charges-and- fields/latest/charges-and-fields_en.html INTRODUCTION: In this lab, you will explore the relationship between the electric field and electric potential Part I: Electric Potential Procedure: 1) Clear the charges and place one positive charge in the center of the grid, on the intersection of major gridlines. Grab a voltage sensor, and move it around the grid, observing how the values change. Then, do the same for one negative charge in the center of the grid. 2) Create an electric dipole by placing one positive and one negative charge on a horizontal grid line. Measure the electric field and electric potential at the point midway between the charges and at several points on the vertical line bisecting the line segment connecting the charges. 3) Create a charge configuration similar to that of a dipole but use two charges of the same sign instead. Measure the electric field and electric potential at the point midway between the charges and at several point on the vertical line bisecting the line segment connecting the charges. 4) Based on your data, what is the main difference between the superposition principle for the electric fields and electric potential?LAB 4: Electric Field and Potential This is a virtual lab based on the interactive simulator Charges and Fields. Access the simulator at https://phet.colorado.edu/sims/html/charges-and- fields/latest/charges-and-fields_en.html INTRODUCTION: In this lab, you will explore the relationship between the electric field and electric potential Part I: Electric Potential Procedure: 1) Clear the charges and place one positive charge in the center of the grid, on the intersection of major gridlines. Grab a voltage sensor, and move it around the grid, observing how the values change. Then, do the same for one negative charge in the center of the grid. 2) Create an electric dipole by placing one positive and one negative charge on a horizontal grid line. Measure the electric field and electric potential at the point midway between the charges and at several points on the vertical line bisecting the line segment connecting the charges. 3) Create a charge configuration similar to that of a dipole but use two charges of the same sign instead. Measure the electric field and electric potential at the point midway between the charges and at several point on the vertical line bisecting the line segment connecting the charges. 4) Based on your data, what is the main difference between the superposition principle for the electric fields and electric potential?PART 2: Relationship between field and potential 1) Place four charges, two positive and two negative, at four random points on a grid. Click on "Values." Drag the voltage sensor in the vicinity of the charges and click on the pencil icon. A line will appear labeled by a number. a) Move the sensor in a way such that the intersection of crosshairs remains on the line. Does the number on the sensor change? What is the physical meaning of this line? b) Move the sensor to a different spot and click "plot" again. In this manner, create 8 to 10 lines. c) Take an electric field sensor and move it on an equipotential line. What can you say bout the way magnitude and direction of the electric field changes as the sensor travels around the line? d) Place a few electric field sensors in a few points between the equipotential lines. Where do the electric field vectors point in terms of increase and decrease of the values on the equipotential lines? 2) Remove the charges and lace a positive charge in the center of the grid. Draw five equipotential circles with the potentials of 10 Volts, 8 Volts, 6 Volts, 4 Volts and 2 Volts. (It might be hard to get the precise values but try to get as close as you can). Take an electric field sensor and move it in a straight line, crossing the equipotential lines. Describe the relationship between the distance between the equipotential lines and the strength of the electric field.PART 2: Relationship between field and potential 1) Place four charges, two positive and two negative, at four random points on a grid. Click on "Values." Drag the voltage sensor in the vicinity of the charges and click on the pencil icon. A line will appear labeled by a number. a) Move the sensor in a way such that the intersection of crosshairs remains on the line. Does the number on the sensor change? What is the physical meaning of this line? b) Move the sensor to a different spot and click "plot" again. In this manner, create 8 to 10 lines. c) Take an electric field sensor and move it on an equipotential line. What can you say bout the way magnitude and direction of the electric field changes as the sensor travels around the line? d) Place a few electric field sensors in a few points between the equipotential lines. Where do the electric field vectors point in terms of increase and decrease of the values on the equipotential lines? 2) Remove the charges and lace a positive charge in the center of the grid. Draw five equipotential circles with the potentials of 10 Volts, 8 Volts, 6 Volts, 4 Volts and 2 Volts. (It might be hard to get the precise values but try to get as close as you can). Take an electric field sensor and move it in a straight line, crossing the equipotential lines. Describe the relationship between the distance between the equipotential lines and the strength of the electric field.Conclusions: Use the observations above and the concept of work to describe and explain . the relative orientation between the equipotential lines and field lines . the relationship between the direction of the electric field and increase or decrease in potential . the relationship between the magnitude of the electric field and the distance between the pairs of lines with the equal potential differenceConclusions: Use the observations above and the concept of work to describe and explain . the relative orientation between the equipotential lines and field lines . the relationship between the direction of the electric field and increase or decrease in potential . the relationship between the magnitude of the electric field and the distance between the pairs of lines with the equal potential difference