Questions in Current Electricity

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If each of the resistance of the network shown in the figure is R, the equivalent resistance between A and B is Question Image
The equivalent resistance of the following diagram A and B is Question Image
Thirteen resistances each of resistance Rohm are connected in the circuit as shown in the figure below. The effective resistance between A and B is Question Image
In a Wheatstone’s bridge all the four arms have equal resistance R. If the resistance of the galvanometer arm is also R, the equivalent resistance of the combination as seen by the battery is
For what value of unknown resistance X, the potential difference between B and D will be zero in the circuit shown in the figure Question Image
Which arrangement of four identical resistances should be used to draw maximum energy from a cell of voltage V Question Image
An unknown resistance $R_1$ is connected in series with a resistance of $10 \Omega$. This combinations is connected to one gap of a metre bridge while a resistance $R_2$ is connected in the other gap. The balance point is at 50 cm. Now, when the $10 \Omega$ resistance is removed the balance point shifts to 40 cm. The value of $R_1$ is (in ohm)
A wire has a resistance of $6 \Omega$. It is cut into two parts and both half values are connected in parallel. The new resistance is
Six equal resistances are connected between points P, Q and R as shown in the figure. Then the net resistance will be maximum between Question Image
The total current supplied to the circuit by the battery is Question Image

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