Electrical Resistance and Their Combinations

Two wires of same metal have the same length but their cross-sections are in the ratio $3:1$. They are joined in series. The resistance of the thicker wire is $10 \mathrm{\Omega }$. The total resistance of the combination is

The electric resistance of a certain wire of iron is $R.$ If its length and radius are both doubled, then

The resistance of a wire at room temperature $30°\mathrm{C}$ is found to be $10 \mathrm{\Omega }$. Now to increase the resistance by $10\%,$ the temperature of the wire must be [The temperature coefficient of resistance of the material of the wire is $0.002$ per$\left.{}^{\circ }\mathrm{C}\right]$

In the circuit shown, each resistance is $2 \mathrm{\Omega }$. The potential $V_1$, as indicated in the circuit, is equal to

A uniform wire has electrical resistance $R$. The wire is cut into $n$ equal parts. All wires are put parallel to each other and joined at the ends. The resistance of the combination is 

Five resistances are connected as shown in the figure. The effective resistance between points $A$ and $B$ is

All the edges of a block with parallel faces are unequal. Its longest edge is twice its shortest edge. The ratio of the maximum to minimum resistance between parallel faces is

Calculate the effective resistance between $A$ and $B$ in the following network.

Each resistance shown in figure is $2 \mathrm{\Omega }$. The equivalent resistance between $A$ and $B$ is

Two long coaxial and conducting cylinders of radius $a$ and $b$ are separated by a material of conductivity $\mathrm{\sigma }$ and a constant potential difference $V$ is maintained between them, by a battery. Then the current per unit length of the cylinder flowing from one cylinder the other is 

In given circuit, all resistances are of $10 \mathrm{\Omega }$. Current flowing through ammeter is

At what temperature would the resistance of a copper conductor be doubled of its value at $0°\mathrm{C}$. (${\alpha }_{\mathrm{Cu}}=4.0\times {10}^{-3} {}^{\circ }\mathrm{C}$)

In a household electric circuit, which of the following is/are correct?
(A) All electric appliances drawing power are joined in parallel.
(B) A switch may be either in series or in parallel with the appliance which it controls.
(C) If a switch is in parallel with an appliance, it will draw power when the switch is in the 'off' position (open).
(D) If a switch is in parallel with an appliance, the fuse will blow (burn out) when the switch is put 'on' closed.

Which statement is correct for the given circuit?

The net resistance between point $P$ and $Q$ in the circuit shown in figure is

Find equivalent resistance between the points $A$ and $B$ ?

The equivalent resistance between points $A$ and $B$ is

The reciprocal of resistance is 

The resistance of a conductor increases with 

The resistance of a wire is $R$. If the length of the wire is doubled by stretching then the new resistance will be