Power in Circuits Video Lessons

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Problem: Consider the three circuits shown above. All the resistors and all the batteries are identical. (select true or false)a. The total power dissipated in circuit C is twice the total power dissipated in circuit B.b. The power dissipated in circuit A is twice the power dissipated in circuit B.c. The current through a resistor is the same in circuits A and C.d. The voltage across a single resistor in circuit C is twice the voltage across a single resistor in circuit B.e. The current through a resistor is the same in circuits A and B.

FREE Expert Solution

In this problem, we'll verify the statements by considering the following equations:

Power in circuits:

P=Vi=i2R=V2R

Ohm's law:

i=VR

Equivalent resistance for 2 resistors in parallel:

Req=R1R2R1+R2

Equivalent resistance for resistors in series:

Req=R1+R2+...+Rn

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Problem Details

Consider the three circuits shown above. All the resistors and all the batteries are identical. 

(select true or false)

a. The total power dissipated in circuit C is twice the total power dissipated in circuit B.
b. The power dissipated in circuit A is twice the power dissipated in circuit B.
c. The current through a resistor is the same in circuits A and C.
d. The voltage across a single resistor in circuit C is twice the voltage across a single resistor in circuit B.
e. The current through a resistor is the same in circuits A and B.

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