Four resistors are connected to a battery as shown in the figure. The current in

Question

Four resistors are connected to a battery as shown in the figure. The current in the battery is I, the battery emf is ? = 4.05 V, and the resistor values are R1 = R, R2 = 2R, R3 = 4R, R4 = 3R. Find the voltages across each resistor.



Four resistors are connected to a battery as shown in the figure. The current in the battery is I, the battery emf is ? = 4.05 V, and the resistor values are R1 = R, R2 = 2R, R3 = 4R, R4 = 3R. Find the voltages across each resistor.



Four resistors are connected to a battery as shown in the figure. The current in the battery is I, the battery emf is ? = 4.05 V, and the resistor values are R1 = R, R2 = 2R, R3 = 4R, R4 = 3R. Find the voltages across each resistor.

Explanation / Answer

Req = 3R

I = V/3R = 4.05/3R

V1 = 4.05*R/3R = 4.05/3 = 1.35 V

V4 = E-iR1 = 4.05-1.35 = 2.7 V

Voltage accross R2+R3 combine = 2.7 V

V2/V3 = R2/R3 =.5

V2 = .5V3

V2 + V3 =2.7

1.5V3 = 2.7

V3 = 2.7/1.5 = 1.8 V

V2 = 2.7-1.8 = .9 V

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