Three equal resistances each of R ohm are connected as shown in fig. A battery of 2 V and internal resistance 0 .1 ohm is connected across the circuit.
The value of R for which the heat generated in the circuit will be maximum is

Question

Three equal resistances each of R ohm are connected as shown in fig. A battery of 2 V and internal resistance 0 .1 ohm is connected across the circuit.

The value of R for which the heat generated in the circuit will be maximum is

Infinity Learn · Accepted Answer

The three resistances are connected in parallel across the source. Their equivalent resistanceR′$$=R3Current$$ in the circuit, $$i=2R$$′$$+0$$⋅$$1Heat$$ produced, H $$=$$ $$i2$$ R' $$=$$ $$4R$$′R′$$+0$$⋅$$12Heat$$ will be maximum when dHdR′$$=0Thus$$ ddR′$$4R$$′R′$$+0$$⋅$$12=0Solving$$, we get R $$=$$ $$0$$⋅$$1$$Ω∴ R $$=$$ $$3R$$' $$=$$ $$3$$ x $$0.1=$$ $$0.3$$Ω

Three equal resistances each of R ohm are connected as shown in fig. A battery of 2 V and internal resistance 0 .1 ohm is connected across the circuit.
The value of R for which the heat generated in the circuit will be maximum is

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Three equal resistances each of R ohm are connected as shown in fig. A battery of 2 V and internal resistance 0 .1 ohm is connected across the circuit.The value of R for which the heat generated in the circuit will be maximum is

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Three equal resistances each of R ohm are connected as shown in fig. A battery of 2 V and internal resistance 0 .1 ohm is connected across the circuit.
The value of R for which the heat generated in the circuit will be maximum is