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Name: Physics 236 Test Two 50 V + – 1 mm Volts Figure 1 1) (20 pts.) Two plates 1 m2 each have a 1 mm gap between them. What is the capacitance? The capacitor is fully charge to 50 V then remove from the power supply, a dielectric with πœ… = 2.5 is placed between the plates. What is the new voltage across the capacitor with the dielectric, remember charge q is still the same, but electric field will change? EMF Figure 2 2) (20 pts.) An RC circuit has a 5.5 kΞ© resistor and a 8.0 Β΅F capacitor in series, how long will it take for the fully discharged capacitor to be charged to 95% once the switch is closed? _______ How long would it if a second 8.0 Β΅F capacitor is added in series? _______ 3) (10 pts) A particle with a charge of +9.0 Β΅C is going from left to right at 5.5×105 m/s. There is a 2 T field going into the paper. Using 𝐹 = π‘žπ‘£π΅π‘ π‘–π‘›πœƒ find the magnitude and direction of the force. 4) (10 pts.) If the charge in problem 3 has a mass of 3.0×10-7 kg, what is the radius of curvature for the particle’s motion? 5) (10 pts.) Magnetic torque is: 𝜏 = π΅πΌπ΄π‘ π‘–π‘›πœƒ A loop of wire has a radius of 3cm and is 30 degrees to a 2 T field with 1.5 A current. What is the torque (state units)? ________________ + – + 35 k ohm 12 V 15 k ohm 6V – 25 k ohm 6) (20 pts.) Find the current through each of the three resistors. 7) (10 pts.) Aluminum has a resistivity of 2.8 x 10-8 ohm-meter. How would you shape 0.001 m3 of Aluminum so it would have 1 ohm of resistance? (more than one correct answer) Name: Physics 236 Test Two 50 V + – 1 mm Volts Figure 1 1) (20 pts.) Two plates 1 m2 each have a 1 mm gap between them. What is the capacitance? The capacitor is fully charge to 50 V then remove from the power supply, a dielectric with πœ… = 2.5 is placed between the plates. What is the new voltage across the capacitor with the dielectric, remember charge q is still the same, but electric field will change? EMF Figure 2 2) (20 pts.) An RC circuit has a 5.5 kΞ© resistor and a 8.0 Β΅F capacitor in series, how long will it take for the fully discharged capacitor to be charged to 95% once the switch is closed? _______ How long would it if a second 8.0 Β΅F capacitor is added in series? _______ 3) (10 pts) A particle with a charge of +9.0 Β΅C is going from left to right at 5.5×105 m/s. There is a 2 T field going into the paper. Using 𝐹 = π‘žπ‘£π΅π‘ π‘–π‘›πœƒ find the magnitude and direction of the force. 4) (10 pts.) If the charge in problem 3 has a mass of 3.0×10-7 kg, what is the radius of curvature for the particle’s motion? 5) (10 pts.) Magnetic torque is: 𝜏 = π΅πΌπ΄π‘ π‘–π‘›πœƒ A loop of wire has a radius of 3cm and is 30 degrees to a 2 T field with 1.5 A current. What is the torque (state units)? ________________ + – + 35 k ohm 12 V 15 k ohm 6V – 25 k ohm 6) (20 pts.) Find the current through each of the three resistors. 7) (10 pts.) Aluminum has a resistivity of 2.8 x 10-8 ohm-meter. How would you shape 0.001 m3 of Aluminum so it would have 1 ohm of resistance? (more than one correct answer)

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