Explore BrainMass
Share

Current Electricity - Resistor

All resistors R1 through R6 of the circuit in figure 4 have the same resistance R. What is the power delivered by the batteries to resistor R6?

Attachments

Solution Preview

Let loop currents be I1 and I2 as shown in the fig.. We write the loop equation for the upper loop using Kirchhoff's loop rule :

E2 - R3I1 - R6(I1 - I2) - E3 - R5(I1 - I2) - R4I1 = 0

Substituting R for all resistances :

E2 - RI1 - R(I1 - I2) - E3 - R(I1 - I2) - RI1 = 0

Or E2 - 4RI1 + 2RI2 - E3 = 0

Or 4RI1 - 2RI2 = E2 - E3 ........(1)

Similarly ...

Solution Summary

Step by step solution provided.

$2.19