Q: (1)A point charge q = +42.0 A point charge q = +42.0 mu C moves from A to B s
ID: 2276220 • Letter: Q
Question
Q: (1)A point charge q = +42.0
A point charge q = +42.0 mu C moves from A to B separated by a distance d = 0.198 m in the presence of an external electric field of magnitude 269 N/C directed toward the right as in the following figure. Find the electric force exerted on the charge. Find the work done by the electric force. Find the change in the electric potential energy of the charge. Find the potential difference between A and B. The metal sphere of a small Van de Graaff generator illustrated in the following figure has a radius of 27.1 cm. When the electric field at the surface of the sphere reaches3.0 106 V/m, the air breaks down, and the generator discharges. What is the maximum potential the sphere can have before breakdown occurs? When a 12.00-V battery is connected to the plates of a capacitor, it stores a charge of 18.0 mu C. What is the value of the capacitance? If the same capacitor is connected to a 15.00-V battery, what charge is stored?Explanation / Answer
a) F = E*q = 269*42*10^-6 = 0.011298 N
direction towards right
b) work done is F*d
= 0.011298*0.198 = 0.002237004 J
c) change in potential is = 0.002237004
charges move from higher to lower so
change in potential = - 0.002237004 J
d) potential difference = 0.002237004/(42*10^-6)
= 53.262 J/C
charges move from higher to lower so
change in potential = - 53.26 V
2) maximum potential is = 3*10^6*27.1/100 = 813000 V
3) q = C*V
C = q/V = 18*10^-6/12 = 1.5*10^-6 = 1.5 uF
b) q = C*V = 1.5*10^-6 *15 = 2.25*10-5 C = 22.5 uC
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