A resistor is placed in a circuit. The current in the circuit is 2 amperes and the voltage drop across the resistor is 8 volts. The voltage is then increased to 12 volts. What will be the new current?
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2 Answers By Expert Tutors
Effective and Patient Math Tutor
V = I*R where:
- V = voltage in volts
- I = Current in amperes (amps)
- R = Resistance in ohms
Initially V = 8 volts and I = 2 amps. Find the resistance, R:
V = I*R
8 volts = (2 amperes)*R
(8 volts)/(2 amps) = R
4 ohms = R
When the voltage is increased to 12 volts, we know R = 4 ohms. Find the current I:
V = I*R
12 volts = I*(4 ohms)
(12 volts)/(4 ohms) = I
3 amps = I
Experienced Physics Teacher for Physics Tutoring
By Ohm's law,
R = V/I = 8 volts / 2 amps = 4 ohms
At 12 volts,
I = V/R = 12 volts / 4 ohms = 3 amps
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