a)You have a capacitor whose capacitance is 1.1 microfarads. You connect it to 7

Question

a)You have a capacitor whose capacitance is 1.1 microfarads. You connect it to 7.50 volts. How much charge is stored on the capacitor?

b)You have a capacitor, but the label saying what its capacitance is has been worn off. You desperately need to know its capacitance, so you connect it to 19.5 volts and measure that 71 nanocoulombs of charge is stored on it. What is the capacitance?

c)You have a 0.87-nF capacitor. What voltage do you need to apply in order to store 0.0065 µC of charge on it?

d)If you wire four 360- resistors in series, what will be their combined, total resistance?

Explanation / Answer

a) given

capacitance c = 1.1*10^-6 F

v = 7.5 V

from the relation

q = cv

q = 1.1*10^-6*7.5 = 8.25*10^-6 C

b) c = q/v

c = 71*10^-9/19.5

c = 3.64*10^-9 F

c) v = q/c

v = 0.0065*10^-6/0.87*10^-9

v = 7.47 V

d) in a sereis combination R = R1+R2+R3+R4 = 360+360+360+360 = 1440 ohm

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