Capacitors & Capacitance Video Lessons

Concept

# Problem: (a) Find the voltage, V1 across the first capacitor. Express your answer in terms of V.(b) Find the charge Q on the first capacitor. Express your answer in terms of C and V1.(c) Using the value of Q just calculated, find the equivalent capacitance Ceq for this combination of capacitors in series. Express your answer in terms of C.

###### FREE Expert Solution

(a) Capacitance, C is given as;

$\overline{){\mathbf{C}}{\mathbf{=}}\frac{\mathbf{Q}}{\mathbf{V}}}$

Total voltage is given by:

$\overline{){\mathbf{∆}}{\mathbf{V}}{\mathbf{=}}{\mathbf{∆}}{{\mathbf{V}}}_{{\mathbf{1}}}{\mathbf{+}}{\mathbf{∆}}{{\mathbf{V}}}_{{\mathbf{2}}}{\mathbf{+}}{\mathbf{∆}}{{\mathbf{V}}}_{{\mathbf{3}}}}$

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###### Problem Details

(a) Find the voltage, V1 across the first capacitor. Express your answer in terms of V.

(b) Find the charge Q on the first capacitor. Express your answer in terms of C and V1.

(c) Using the value of Q just calculated, find the equivalent capacitance Ceq for this combination of capacitors in series. Express your answer in terms of C.