(13%) Problem 4: A circuit consisting of 5 resistors is shown in the graph. Thei
ID: 1534236 • Letter: #
Question
(13%) Problem 4: A circuit consisting of 5 resistors is shown in the graph. Their resistances are R 19 2, R 95 2, R 97 R 53 2, and R 34 2, and the emf of the battery is s 4.5 Suppose the internal resistance of the battery is zero A 14% Part (a) Express the equivalent resistance of the combination of R2, R3, and R4 eg 7 s 9 HOME 4 5 6 1 2 3 Hint I Submit give up! Hints 4% deduction per hint. Hints remaining: 1 Feedback: 5% deduction per feedback. A 14% Part total resistance of the circuit R in terms of R1 R2, R3, Rd, and R Express the A 14% Part (c) Calculate the numerical value of the total resistance R in Q A 14% Part (d) Express the current I through Ri in terms of the emf s and the equivalent resistance R. A 14% Part (e) Calculate the numerical value of lin A A 14% Part (f Express the power P dissipated by Ri through I and R A 14% Part (g) Calculate the numerical value of the power P in W Otheexpertta.com Grade Summary Deductions 0% Potential 100% Submissions Attempts remaining: 7 4% per attempt detailed viewExplanation / Answer
a) R ( equivalent) = ( 95 x 97x 53)/ ( 95x 97 + 97x 53 + 53x 95)= (488395 / 9215 + 5141 + 5035 ) = 488395/ 19391= 25.186 ohms apprx
b) R = ( R1 + [ R2R3R4/ R2R3 + R3R4 + R2R4] + R5)
c) R = 19 + 25.186 + 34 = 78.186 ohms apprx
d) I (through R1) = 4.5/ 78. 186 = 0.05755 A apprx = 57.55 mA
e) P = I^2 R1
f) P = 0.05755 ^2 ( 19) =0.0629 W apprx
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