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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
=

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 kβ¦ 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 πΉ = ππ£π΅π πππ 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 particleβs motion?

5) (10 pts.) Magnetic torque is:

π = π΅πΌπ΄π πππ

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
=

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 kβ¦ 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 πΉ = ππ£π΅π πππ 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 particleβs motion?

5) (10 pts.) Magnetic torque is:

π = π΅πΌπ΄π πππ

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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