capacitor-4

Electricity and Magnetism Level pending

Select the equation below that represents the relationship between charge, capacitance, and voltage \text{Select the equation below that represents the relationship between charge, capacitance, and voltage}

for a capacitor. \text{ for a capacitor.}

C = QV V = IR Q = CV C=QVI

Mohammad Khaza by Mohammad Khaza , 20, Bangladesh

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1 solution

Tom Engelsman
Feb 18, 2018

Knowing that the following differential equation holds for current across a capacitor:

i ( t ) = C ⋅ d V d t i(t) = C \cdot \frac{dV}{dt} ;

or d Q d t = C ⋅ d V d t \frac{dQ}{dt} = C \cdot \frac{dV}{dt} ;

or d d t [ Q = C ⋅ V ] \frac{d}{dt} [ Q = C \cdot V] ;

or Q = C V + Q 0 Q = CV + Q_{0} , which Q 0 = 0 Q_{0} = 0 if the capacitor is uncharged at t = 0 t = 0 . Hence, Q = C V \boxed{Q = CV} is the desired result.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

thanks for uploading a solution.

Mohammad Khaza - 3 years, 3 months ago

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My pleasure, Mohammad!

tom engelsman - 1 year, 5 months ago

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