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COLLEGE PHYSICS PROBLEMS

 

1. Two conduction parallel plates are separated by an air gap of 1mm, and then charged, becoming a parallel plate capacitor.
a) If the capacitance of the parallel plates were .2 uF, what would be the surface area of the plates ?
b) If a potential difference of 5000 volts were held across the plates, what would be the charge on the plates?
c) What is the electric field strength between the plates.
d) How fast would an electron be traveling when it reached the positive plate, if released from rest at the negative plate?

 

2. Two charge concentric sphere are shown below. R1 = 10 mm. R2 = 15 mm. The two spheres comprise a spherical capacitor. What is it's capacitance?

3. Two charge concentric cylinders are shown below. R1 = 10 mm. R2 = 15 mm., L = 80 cm. The two cylinders comprise a cylindrical capacitor.
a) What is it's capacitance?
b) If a charge of Q1 = + 10 uC, Q2 = - 10 uC is placed on the capacitor, what is the voltage difference between the two cylinders?

 

4. In the capacitor combination shown below, C1 = 3 uF, C2 = 6 uF, C3 = 5 uF, C4 =20 uF
a) Determine the equivalent capacitance of the combination.
b) If a potential difference of 100 volts is applied across the combination, determine the potential difference across each capacitor, and the charge on each capacitor.

5. In the capacitor combination shown below, C1 = 3 uF, C2 = 6 uF, C3 = 5 uF, C4 =20 uF, C5 =12 uF, C6= 18 uf
a) Determine the equivalent capacitance of the combination.
b) If a potential difference of 100 volts is applied across the combination, determine the potential difference across each capacitor, and the charge on each capacitor.

 

6. In the capacitor combination shown below, C1 = 3 uF, C2 = 6 uF, C3 = 5 uF, C4 = 7 uF, C5 = 3 uF, C6= 8 uf
a) Determine the equivalent capacitance of the combination.
b) If a potential difference of 100 volts is applied across the combination, determine the potential difference across each capacitor, and the charge on each capacitor.

Answers:
1a) 22.6 m2, 1b) 1x10-3 C, 1c) 5 x 106 V/m, 1d) 4.2 x 107 m/s; 2.) 3.34x10-12 F; 3a) 1.1x10-10 F, 3b) 90,900 V;
4a) 6uF, 4b) 3 uf, 200uC, 67 V; 6uf, 200uC 33 V; 5uf, 400uC, 80 V, 20 uf, 400uC, 20 V; 5a) 36/11 uf = 3.27 uf; 5b) 3uf, 109uC, 36.3V; 6uf, 109uC, 18.2V; 5uf, 218uC, 43.6V; 20uf, 218uC, 10.9V; 12uf, 327uC, 27.3V, 10uf, 327uC, 18.2V; 6a)13.33uf; 6b) 3uf, 200uC, 66.7V; 6uf, 200uC, 66.7V; 5uf, 333uC, 66.7V; 7uc, 233uC, 33.3V; 3uf, 100uC, 33.3V; 8uf, 800uC, 100V