Question

(Note: This problem continues onto the neat page!) Consider the following circuit, which shows three resistons (R 2son, R, 200 n, Ra 300 n) and three 3 uF, Ca 1 paF, 5 aF) connected to a Av 10 v battery and a switch, which is currently open. AMAN B D LMN R3 a) Find the equivalent resistance between points A and B. b) Find the equivalent capacitance between points D and E.

Answer 1

Equivalent resistance bet A and B R_2 and R_3 are in ll^l and R_1 is in series so Req = R_2R_3/R_2 + R_3 + R_1 = 300 times 200/500 + 280 Reqt = 400 Ohm equivalent capacitance bet D and E C_2 and C_3 are in series and C_1 is in parallel so C_eqt = C_2 times C_3/C_2 + C_3 + C_1 = 1 times 5/1 + 5 + 3 C_eqt = 3.83 mu f Time constant for circuit is C = RC C = Req times C_eq = c = 400 Ohm times 3.83 times 10^-6F c = 1.532 times 10^-3 sec initially the capacitor will uncharge and behaves as conductor so I_intion = V/Req I = 10V/400 = 0.025A Battery will supply current for infinite time but current decrease exponentially