A storage battery of emf 12V and internal resistance 0.5Ω is to be charged by a 120V dc supply of negligible internal resistance. What resistance is required in the circuit for the charging current to be 3A? What is the terminal voltage of the battery during charging?
Answers
Answer:
Explanation:
Emf of the storage battery, E = 8.0 V
Internal resistance of the battery, r = 0.5 Ω
DC supply voltage, V = 120 V
Resistance of the resistor, R = 15.5 Ω
Effective voltage in the circuit = V1
R is connected to the storage battery in series. Hence, it can be written as
V1 = V - E
V1 = 120 - 8 = 112 V
Current flowing in the circuit = I, which is given by the relation,
Voltage across resistor R given by the product, IR = 7 × 15.5 = 108.5 V
DC supply voltage = Terminal voltage of battery + Voltage drop across R
Terminal voltage of battery = 120 - 108.5 = 11.5 V
A series resistor in a charging circuit limits the current drawn from the external source. The current will be extremely high in its absence. This is very dangerous.
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Resistance is 35.5 ohm and terminal voltage is 13.5 volt