SUBJECT: PHYSICS

Complete solutions and avoid using chatgpt and handwritten answers

6. A radio technician is working on a tuner circuit that needs a very specific capacitance to correctly tune to a desired frequency. The technician uses a combination of capacitors in series and parallel to achieve a total capacitance of 150 pF. The circuit includes two parallel groups of capacitors. The first group consists of three capacitors each of 100 pF in series, and the second group consists of two capacitors: one 300 pF capacitor in parallel with a series arrangement of two 150 pF capacitors. Calculate the total capacitance of the circuit. 7. A company is laying an underwater cable to connect two islands. The cable is made of copper and has a length of 5 kilometers. The copper wire has a cross-sectional area of 1 mm?. Given that the resistivity of copper is 1.68x10-80Q-m, calculate the total resistance of the cable. 8. An industrial heating element is designed to operate at high temperatures. It's made of nichrome and at 20C, it has a resistance of 10 ohms. The element is designed to operate at 1200C. Given that the temperature coefficient of resistance for nichrome is 0.0004/C, calculate the resistance of the heating element at operating temperature. 8. A temperature sensor uses a platinum resistance thermometer which has a resistance of 100 ohms at 0C. The temperature coefficient of resistance for platinum is 0.00385/C. Calculate the resistance of the sensor at 100C. How is this property useful for measuring temperature? 10. A homeowner uses a 50-meter extension cord made of aluminum to connect garden tools. The aluminum wire has a cross-sectional area of 2.5 mm22.5 mmz. If the resistivity of aluminum is 2.82x10-80-m2.82x10-80-m, calculate the total resistance of the extension cord