6. [1pt] The picture shows a battery connected to two cylindrical resistors in p

Question

6. [1pt]
The picture shows a battery connected to two cylindrical resistors in parallel. Both resistors are made of the same material and are of the same length, but the diameter of resistor A is twice the diameter of resistor B.
(For each statement select T True, F False).

A) The resistance of wire B is twice as large as the resistance of wire A.
B) The power dissipated in wire A is 16 times the power dissipated in wire B.
C) The current through wire A is four times larger than the current through wire B.
D) The current through the battery is five times larger than the current through wire B.
E) The voltage drop across wire B is the same as the voltage drop across wire A

Explanation / Answer

A) FALSE

Resistance is inversely proportional to area. So it is inversely proportional to (diamter/2)^2. Hence the resistance of wire B is FOUR timesas large as the resistance of wire A.

B) FALSE

Voltage across them is same while the resistance of wire B is four timesas large as the resistance of wire A. Power is V2/R. So power dissipated in A i 4 times than that in B.

C) TRUE

I=V/R. Using this we see that the given statement is true

D) TRUE

Current through battery: 1x from B + 4x from A

E) TRUE

Parallel connection gives same voltage drop

Related Questions

Navigate

• Browse (All)
• Browse 6
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.