Embibe Experts Solutions for Chapter: Current Electricity, Exercise 1: AIPMT - 4th May 2014

Two resistors of resistance, $100 \mathrm{\Omega }$ and $200 \mathrm{\Omega }$ are connected in parallel in an electrical circuit. The ratio of the thermal energy developed in $100 \mathrm{\Omega }$ to that in $200 \mathrm{\Omega }$ in a given time is

A copper wire of length $10 \mathrm{m}$ and radius $\left(\frac{{10}^{-2}}{\sqrt{\pi }}\right)\mathrm{m}$ has electrical resistance of $10\mathrm{\Omega }$. The current density in the wire for an electric field strength of $10 \mathrm{V} {\mathrm{m}}^{-1}$ is:

A Wheatstone bridge is used to determine the value of unknown resistance $X$ by adjusting the variable resistance $Y$ as shown in the figure. For the most precise measurement of $X$, the resistances $P$ and $Q$

Column - I gives certain physical terms associated with flow of current through a metallic conductor. Column - II gives some mathematical relations involving electrical quantities. Match Column - I and Column - II with appropriate relations.

The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is $0.25 \mathrm{\Omega }$. What will be the effective resistance if they are connected in series?

Three resistors having resistances $r_1, r_2$ and ${\mathrm{r}}_3$ are connected as shown in the given circuit. The ratio $\frac{i_3}{i_1}$ of currents in terms of resistances used in the circuit is :

For the circuit given below, the Kirchhoff's loop rule for the loop $BCDEB$ is given by the equation

The equivalent resistance between $A$ and $B$ for the mesh shown in the figure is