In the circuit shown in Fig. E26.17, the voltage across the 2.00 Ω resistor is 12.0 V. What are the emf of the battery and the current through the 6.00 Ω resistor?
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The emf of the battery of the given circuit is 18 volts and the current through the 6 ohm resistor is 3A.
In a current carrying conductor, the voltage difference V is directly proportional to the current I through the conductor. The constant is called the resistance R.
i.e V=IR.
Emf of the battery is equal to e = V1 +V2
Current through 2 ohm resistor, I2 = V2 /R
I2 = 12/2
I2 =6 A
Voltage through 1 ohm resistor V1 = I1 R
V1 = 6 x 1 =6 volts
Emf of the battery E = 6+12 =18 volts.
The current through 6 ohm resistor is
I = 18 /6 = 3 A
Thus, emf of the battery is 18 volts and the current through the 6 ohm resistor is 3A.
Learn more about ohm's law.
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