Combining Resistors in Series & Parallel Video Lessons

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Problem: In the circuit shown in the figure, all the resistors are rated at a maximum power of 1.20 W.What is the maximum emf that the battery can have without burning up any of the resistors?

FREE Expert Solution

Equivalent resistance for resistors in parallel:

1Req=1R1+1R2+...+1Rn

For 2 resistors in parallel:

Req=R1R2R1+R2

Equivalent resistance for resistors in series:

Req=R1+R2+...+Rn

Power in a circuit:

P=iV=i2R=V2R

Ohm's law:

V=iR

Label the resistors as below:

R4 and R5 are in parallel:

R45 = (20.0)(20.0)/(20.0 + 20.0) = 10.0Ω

R45 and R3 are in series:

R345 = 10.0 + 10.0 = 20.0Ω

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Problem Details

In the circuit shown in the figure, all the resistors are rated at a maximum power of 1.20 W.

What is the maximum emf that the battery can have without burning up any of the resistors?

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