A ideal battery is connected to the network shown: starting from the positive terminal

PHYSICS · Single correct · A Level · Physics · Electricity · Electricity

Problem

A 12 V12\,\text{V} ideal battery is connected to the network shown: starting from the positive terminal, current I1I_1 flows through a 2 Ω2\,\Omega resistor to a junction CC, then splits into currents I2I_2 through a 4 Ω4\,\Omega resistor and I3I_3 through a 6 Ω6\,\Omega resistor, both reaching the negative terminal of the battery. Given that I1=I2+I3I_1 = I_2 + I_3, determine the power dissipated in the 6 Ω6\,\Omega resistor. (a) 8.6 W8.6\,\text{W} (b) 6.5 W6.5\,\text{W} (c) 7.1 W7.1\,\text{W} (d) 11.1 W11.1\,\text{W}

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