Questions in Current Electricity

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An infinite ladder network is arranged with resistances R and 2 R as shown. The effective resistance between terminals A and B is Question Image
If all the resistors shown have the value 2 ohm each, the equivalent resistance over AB is Question Image
A battery of emf 10 V and internal resistance is connected to a resistor as shown in the figure. If the current in the circuit is 0.5 A. then the resistance of the resistor will be Question Image
The potential drop across the $3\Omega$ resistor is Question Image
In the given figure, potential difference between A and B is Question Image
If each resistance in the figure is of $9 \Omega$ then reading of ammeter is Question Image
Four resistances $10 \Omega$, $5 \Omega$, $7 \Omega$ and $3 \Omega$ are connected so that they form the sides of a rectangle AB, BC, CD and DA respectively. Another resistance of $10 \Omega$ is connected across the diagonal AC. The equivalent resistance between A and B is
Two wires of equal diameters, of resistivities ${\rho _1}$ and ${\rho _2}$ and lengths $l_1$ and $l_2$, respectively, are joined in series. The equivalent resistivity of the combination is
Four resistances of $100 \Omega$ each are connected in the form of square. Then, the effective resistance along the diagonal points is
Equivalent resistance between the points A and B is (in $\Omega$) Question Image

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