True False The voltage drop across wire B is larger than the voltage drop across

Question

True False  The voltage drop across wire B is larger than the voltage drop across wire A.
True False  The resistance of wire B is four times as large as the resistance of wire A.
True False  The curent through the battery is five times larger than the current through wire B.
True False  The resistance of wire B is twice as large as the resistance of wire A.
True False  The power dissipated in wire A is 16 times the power dissipated in wire B.

The picture shows a battery connected to two wires in parallel. Both wires are made of the same material and are of the same length, but the diameter of wire A is twice the diameter of wire B.

Explanation / Answer

(1)

Resistors in parallel share the same voltage, so the voltage will be the same across both resistor.

FALSE

(2)

RB = rho*L / pi*r^2

RA = rho*L / pi(2r)^2

RB = 4*RA

TRUE

(3)

iA = E / RA

iB = E / 4*RA

The curent through the battery = E / RA + E / 4*RA = 5*E / 4*RA

i / iB = 5 : 1

TRUE

(4)

FALSE

(5)

PA = E^2 / RA

PB = E^2 / 4*RA

PA = 4*PB

FALSE.

answer is FTTFF

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