- Electricity & Magnetism
Current Electricity - Resistor
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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?
© BrainMass Inc. brainmass.com October 15, 2018, 1:36 pm ad1c9bdddf - https://brainmass.com/physics/resistors/current-electricity-resistor-259574
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)
Step by step solution provided.