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A battery of emf 10V has an internal resistance of 1 ohms and is charged by a 150V de supply using a series resistance of 19 ohms. What is the terminal voltage of the battery?
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A battery of emf 10V has an internal resistance of 1 ohms and is charg...
Terminal Voltage Calculation
- The terminal voltage of a battery is the voltage across its terminals when it is connected in a circuit.
- It can be calculated using the formula:
V_terminal = V_emf - I * R_internal
where V_emf is the emf of the battery, I is the current flowing through the circuit, and R_internal is the internal resistance of the battery.

Given Data
- Emf of the battery (V_emf) = 10V
- Internal resistance of the battery (R_internal) = 1 ohm
- Supply voltage = 150V
- Series resistance = 19 ohms

Calculations
- The current flowing through the circuit can be calculated using Ohm's law:
I = (V_supply) / (R_internal + R_series)
where R_series is the series resistance.
- Substituting the given values, we get:
I = 150 / (1 + 19) = 7.5 A
- Now, substitute the values of emf and internal resistance in the formula for terminal voltage:
V_terminal = 10 - 7.5 * 1 = 2.5 V

Conclusion
- Therefore, the terminal voltage of the battery is 2.5V when charged by a 150V supply using a series resistance of 19 ohms.
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A battery of emf 10V has an internal resistance of 1 ohms and is charged by a 150V de supply using a series resistance of 19 ohms. What is the terminal voltage of the battery?
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