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R (11%) Problem 24: A circuit consisting of 5 resistors is shown in the graph. Their resistances are R1 = 19 Ω, R2 = 75 Ω, R3 = 89 Ω, R4 = 64 Ω, and R5 = 26 Ω, and the emf of the battery is e = 1.5 V. Suppose the internal resistance of the battery is zero.
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Part (a) Express the equivalent resistance of the combination of R2, R3, and R4 .
Req =
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Part (b) Express the total resistance of the circuit R in terms of R1, R2, R3, R4, and R5.
Part (c) Calculate the numerical value of the total resistance R in Ω.
Part (d) Express the current I through R1, in terms of the emf ε and the equivalent resistance R.
Part (e) Calculate the numerical value of I in A.
Part (f) Express the power P dissipated by R1, through I and RI.
Part (g) Calculate the numerical value of the power P in W.
♦ Relevant knowledge
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Imagine a circuit comprised of many resistors that form an intricate arrangement. It is difficult to estimate the voltage drop and current that flows through each resistor, but it is possible to use the same resistors to make the circuit simpler. Think about replacing the complete set of resistors by just one resistor, which produces exactly the same drop in voltage as well as the same current as in the initial collection. Its resistance hypothetical resistor is that of the arrangement’s the resistance of Req.
1 Answer