Consider the three circuits shown above. All the resistors and all the batteries
ID: 1430111 • Letter: C
Question
Consider the three circuits shown above. All the resistors and all the batteries are identical; neglect the internal resistance of the batteries.
For each statement, select True or False; e.g., if the first statement is true and the rest false, enter TFFFF.
A) The current through a resistor in circuit C is half the current through the resistor in circuit A.
B) The current through a resistor is the same in circuits B and C.
C) The power dissipated in circuit C is twice the power dissipated in circuit A.
D) The voltage across a single resistor in circuit C is twice the voltage across a single resistor in circuit B.
E) The power dissipated in circuit A is half the power dissipated in circuit B.
Explanation / Answer
A . False
B. False.
From V = IR, we get
I =V/R
Since the resistance is greater in B, it has less current.
C. True
D. True.
Each resistor in C has the entire voltage drop across it. However, circuit B has two equal resistors in series, so the voltage must drop across each of them. Since they are equal resistance, the voltage drops half of its full amount across each one
E. True.
P =V 2/R
The resistance in B is twice that in A, so A dissipates haif the power.