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A constant voltage is applied between two ends of a metallic wire. If the length is halved and the radius of the wire is doubled, the rate of heat developed in the wire will be
The charge flowing through a resistance $R$ varies with time as $Q = 2t - 8t^2$. The total heat produced in the resistance is (for $0 \leq t \leq \frac{1}{8}$)
When a resistor of $11 \,\Omega$ is connected in series with an electric cell, the current flowing in it is $0.5\, A$. Instead, when a resistor of $5 \,\Omega$ is connected to the same electric cell in series, the current increases by $0.4\, A$. The internal resistance of the cell is ................ $\Omega$
To verify Ohm's law, a student connects the voltmeter across the battery as, shown in the figure. The measured voltage is plotted as a function of the current, and the following graph is obtained If $V_0$ is almost zero, identify the correct statement