A capacitor is connected to a cell of $emf$ $E$ having some internal resistance $r$. The potential difference across the
ACell is $< E$
BCell is $E$
CCapacitor is $> E$
DCapacitor is $< E$
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BCell is $E$
b (b) In the given case cell is in open circuit $(i = 0)$ so voltage across the cell is equal to its $e.m.f.$
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In the circuit shown, the reading of the Ammeter is doubled after the switch is closed. Each resistor has a resistance $1\,\Omega$ and the ideal cell has an $e.m.f.$ $10\,V$. Then, the Ammeter has a coil resistance equal to ............ $\Omega$
For the arrangement of the potentiometer shown in the figure, the balance point is obtained at $a$ distance $75\,cm $ from $A$ when the key $k$ is open. The second balance point is obtained at $60\, cm$ from $A$ when the key $k$ is closed. Find the internal resistance (in $ \Omega$) of the battery $E_1$.
A current of $10\, amp$ is passing through a metallic wire of cross sectional area $4 \times 10^{-6}\, m ^{2}$. If the density of the aluminum conductor is $2.7\, gm / cc$ considering aluminum gives $1$ electrons per atom for conduction find the drift speed of the electrons is ......... $\times 10^{-4} \,m / s$ if molecular weight of aluminum is $27 \,gm$.
A battery of internal resistance $4\, ohm$ is connected to the network of resistance as hown. In the order that the maximum power can be delivered to the network, the value of $R$ in ohm should be :-
Two identical bulbs are connected in parallel across an ideal source of emf $E$. The ammeter $A$ and voltmeter $V$ are ideal. If bulb $B_2$ gets fused, then
A potentiometer wire is $100\,\, cm$ long and a constant potential difference is maintained across it. Two cells are connected in series first to support one another and then in opposite direction. The balance points are obtained at $50\,\, cm$ and $10\,\, cm$ from the positive end of the wire in the two cases. The ratio of emf's is
Resistances are arranged in a cyclic order to form a balanced wheatstone bridge as shown in figure. Ratio of power consumed in the branches $P + Q$ and $R + S$ is