Question

1. Reduce the following circuit as far as it can be reduced. i. Draw the original circuit and at each step draw the resulting circuit ii. Color code each circuit - keep your color code consistent for each drawing. 111. At each step circle the capacitors that are being combined and clearly label how (parallel or series) iv. Symbolically write out an equation that describes the reduction at each step. Cs 9.00 V a. Given the following values for the capacitors find the equivalent capacitance for the circuit above. C1= 27.8 MF, C2= 21.80 uF and C3=6.00uF b. For the same capacitances listed in part a. Find the charge on each capacitor of the original circuit. (Hint: Think back to what you did in questions 1 and 2. Don't just rely on the first or last circuit, the drawings representing the in-between steps are useful.) c. For the same capacitances listed in part a. Find the potential difference across each capacitor of the original circuit.

Answer 1

I Cp = (2+63 •Candez, are I combined е, „С,се combined (a.) (p = 21.8 uf+ 6 uf 4 = 27.8MF 1 2 = 24084E + 27 Bus = 24 3 es = 27.8 Uf = 9.267 MF (b) Q = GgV Qs = 9.267 89 x 156 - 83.40buc. Q1 - GV Q = 250 uc Qp = 250 MG (c) Ves=9v Ve=9V Vep = ar