Consider the three circuits shown above. All the resistors and all the batteries
ID: 1433091 • 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.
The power dissipated in circuit C is twice the power dissipated in circuit A.
The current through a resistor is the same in circuits B and C.
The voltage across a single resistor in circuit B is half the voltage across a single resistor in circuit C.
The power dissipated in circuit A is twice the power dissipated in circuit B.
The current through a resistor is the same in circuits A and C.
Explanation / Answer
Here,
for circuit A ,
RA = R
for circuit B
RB = 2R
for circuit C
RC = R/2
Now ,for the statements
The power dissipated in circuit C is twice the power dissipated in circuit A.
PowerA = V^2/R
PowerC = V^2/(R/2) = 2 V^2/R
hence , this is TRUE
The current through a resistor is the same in circuits B and C.
FALSE
The voltage across a single resistor in circuit B is half the voltage across a single resistor in circuit C.
TRUE
The power dissipated in circuit A is twice the power dissipated in circuit B.
Power C = V^2/(2R)
TRUE
The current through a resistor is the same in circuits A and C.
current = V/R for both
TURE
the answer is TFTTT