The terminals of a 4.0V battery are connected to points A and B in the figure Ho

Question

The terminals of a 4.0V battery are connected to points A and B in the figure

How much current is in each resistor? I1,I2,I3,I4=

How much power is delivered to each? P1,P2,P3,P4=

Compare the sum of the individual powers with the power delivered to the equivalent resistance for the circuit.]

The terminals of a 4.0V battery are connected to points A and B in the figure How much current is in each resistor? I1,I2,I3,I4= How much power is delivered to each? P1,P2,P3,P4= Compare the sum of the individual powers with the power delivered to the equivalent resistance for the circuit.]

Explanation / Answer

I = V/R

I1 = 4/6 = 0.67 A

I2 =I3 = 4/10 = 0.4 A

I4 = 4/10 =0.4 A

P1 = I12R1 =2.69W

P2 = 0.64W

P3 =0.96 W

P4 = 1.6 W

total power = P1+P2+P3+P4 = 5.89W

effective resistance R = 2.73 ohms

P = V2/R =42/2.73 = 5.86 W

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