at polnts Notes Ask Your Two resistors, A and B, are connected in parallel acros

Question

at polnts Notes Ask Your Two resistors, A and B, are connected in parallel across a 6.0 V battery. The current through B is found to be 1.0 A. When the two resistors are connected in series to the 6.0V a voltmeter connected across resistor A measures a voltage of 2.4 V. Find the resistances A and 8. Your s from the correct answer by more than 10%. Double check your calculations. Your responhe differs from the correct answer by more than 10%. Double check your calculations. Submit Anewer Save Progress Practice Another Version

Explanation / Answer

Remember in resistors parallel combination voltage distribution in each part will be same and in series combination current distribution in each resistor will be same.

In parallel connection,

1/Req = 1/Ra + 1/Rb

Req = Ra*Rb/(Ra + Rb)

Va = Vb = V in parallel circuit, So

Va = 6 V, & Vb = 6 V

ib = 1 Amp

Rb = Vb/ib = 6/1 = 6 ohm

Now in series circuit

Req = Ra + Rb

ia = ib = i

Va = 2.4 V

Vb = V - Va = 6 - 2.4 = 3.6 V

Rb = 6 ohm (from parallel circuit part)

ib = Vb/Rb = 3.6/6 = 0.6 Amp

ia = ib, So

ia = 0.6 Amp

Ra = Va/ia = 2.4/0.6 = 4 ohm

Ra = 4 ohm and Rb = 6 ohm

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