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a) The dimensions of a parallel-plate capacitor are allincreased by a factor of

ID: 1666818 • Letter: A

Question

a) The dimensions of a parallel-plate capacitor are allincreased by a factor of six. By whatfactor does the capacitance change? (The dimensions refer to thelength and width of a plate and the spacing between theplates.)
b) A typical capacitor in an MP3 player has C = 0.10µF. If a charge ±5.3µC is placed on the plates, what is the voltage across thecapacitor?
1 V
a) The dimensions of a parallel-plate capacitor are allincreased by a factor of six. By whatfactor does the capacitance change? (The dimensions refer to thelength and width of a plate and the spacing between theplates.)
b) A typical capacitor in an MP3 player has C = 0.10µF. If a charge ±5.3µC is placed on the plates, what is the voltage across thecapacitor?
1 V

Explanation / Answer

        Length of thecapacitor   L = 6L
        width of thecapacitor      b = 6 b area of the capacitor     A =36 A    a) Capacitance of the parallelplate capaciotr                  C = o A / d                       =  o(36 A ) / d                       = 36 C    Capacitance increased by 36factor                   b) C = 0.1 F         charge  Q = 5.3 C           Voltage across capacitor    V =  Q / C                                                         = 5.3   / 0..1                                                         =  53V