Parts E & G A circuit consisting of 5 resistors is shown in the graph. Their res

Question

Parts E & G

A circuit consisting of 5 resistors is shown in the graph. Their resistances are R_1 = 14 Ohm, R_2 = 445 Ohm, R_3 = 89 Ohm, R_4 = 43 Ohm, and R_5 = 37 Ohm, and the emf of the battery is epsilon = 5.5 V. Suppose the internal resistance of the battery is zero. Express the equivalent resistance of the combination of R_2, R_3, and R_4. Express the total resistance of the circuit R in terms of R_1, R_2, R_3, R_4, and R_5. Calculate the numerical value of the total resistance R in Ohm. Express the current I through R_1 in terms of the emf epsilon and the equivalent resistance R. Calculate the numerical value of 1 in A. Express the power P dissipated by R_1 through I and R_1. Calculate the numerical value of the power P in W.

Explanation / Answer

here,

R2 , R3 and R4 are in parllel, their equivalent resistance be R

1/R = 1/R2 + 1/R3 + 1/R4

1/R = 1/45 + 1/89 + 1/43

R = 17.63 ohm

R, R1 and R5 are in series , equivalent resistance , Req = R + R1 + R5

Req = 65.63 ohm

e)

the current through R1 , I = V/Req

I = 5.5/65.63 = 0.084 A

g)

the power dissapated , P = I^2 * R1

P = 0.084^2 * 14 = 0.098 W

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