Question

(11%) Problem 9: A circuit consisting of S resistors is shown in the graph Their resistances are R1 ; 18 Ω,R,-9552, Rpl9Q,R4-61 Ω, and R,-33Ω, and the enfof the battery is 6.5 V Suppose the internal resistance of the battery is zero. Ra R, Otheexpertta.com 14% Part (a) Express the equivalent resistance of the combination ofR2,R, and R4 R(C1R)(R)(R Correcet 14% Part (b) Express the total resistance of the circuit R in terms of R1, R2,R, R. and R, q) 14% Part (c) Calculate the numerical value of the total resistance R in R- 79.2Correct! q) 14% Part (d) Express the current/through RI in terms of the emfe and the equivalent resistance R I-tR ง Correct! > 14% Part (e) Calculate the numerical value or in A. 120082 Correct - 14% Part (i) Express the power P dissipated by R1 through 1 and R/

Answer 1

(g) Before calculating power, we have to calculate the equivalent resistance of the given network, This gives,

$R_{eq} = R_1 + \frac{1}{\frac{1}{R_2} + \frac{1}{R_3} + \frac{1}{R_4}} + R_5$

Substituting values we get,

$\Rightarrow R_{eq} = 18 + \frac{1}{\frac{1}{95} + \frac{1}{89} + \frac{1}{61}} + 33 = 18 + 26.2 + 33 = 77.2 \Omega$

Therefore the power is given by,

$P = IV = \frac{V^2}{R} \Rightarrow P = \frac{6.5^2}{77.2} = 0.547 \, W$