Please explain step by step

5. A square wire loop consists of 100 loops ofwire with an edge length of 10 cm. The loop is placed in the plane of the page in a uniform magnetic field directed perpendicular to the page. The graph to right shows the magnetic field as a function of time, with the same sign convention as Question 4-. Use this sign convention when considering Faraday's Law. a. Draw the graph for the magnetic ux through one loop as a function of time. Use the same sign convention as is used for the magnetic field [when the field is positive, call the flux positive). b. Use Faraday's law to draw the induced voltage in the loop as a function of time. Be sure to include the minus sign in Faraday's law when drawing your graph. Show any calculations you need below. 1234 6 123456 123456 t (S) t (s) t (S) 6. A loop of wire is oriented in the plane of the page where a uniform magnetic field is directed out of the page. The magnetic field changes in time and the magnetic field as a function of time, B[t), is shown in the graph to right. On the graph are three different scenarios (IIll). 0'4 a. For each scenario, describe the voltage induced in the wire loop (i.e., zero, constant, increasing, decreasing, 02 etc.). t [S] b. Rank the scenarios by the instantaneous voltage induced in the wire loop at time t = 0. Explain your reasoning. c. Rank the scenarios by the instantaneous voltage induced in the wire loop at time t = 4- 5. Explain your reasoning. 7. A circular loop with radius 3.0 cm consisting of 15 loops of wire is placed in a uniform magnetic field with magnitude 2.0 T. Initially, the loop is perpendicular to the magnetic field, but exterior torques cause the loop to spin with a constant angular velocity. The angle between the magnetic field direction and a vector perpendicular to the loop can be written as B[t) = wt, where u) = 50 rad/s. a. What is the magnetic flux through the circular loop as a function of time? b. What is the induced voltage in the circular loop as a function of time? c. What is the maximum [in absolute value) voltage induced in the circular loop? d. What is the value[s) of the magnetic ux when the induced voltage attains this maximum value? e. What is the value[s) of the magnetic ux when the induced voltage is zero