Embibe Experts Solutions for Chapter: Current Electricity, Exercise 1: AMU-AT (B.Tech.) 2017

$I-V$ characteristic of a copper wire of length $L$ and area of cross-section $A$ is shown in figure. The slope of the curve becomes

The current in a conductor varies with time $t$ as $I=2t+3t^2$, where $I$ is in ampere and $t$ in seconds. Electric charge flowing through a section of the conductor during $t=2 \sec$ to $t=3 \sec$ is

If the ammeter in the given circuit reads $2 \mathrm{A}$, the resistance $R$ is

A $50 \mathrm{ohm}$ galvanometer gets full scale deflection when a current of $0.01 \mathrm{A}$ pass through the coil. When it is converted to a $10 \mathrm{A}$ ammeter, the shunt resistance is

Resistance in the two gaps of a meter bridge are $10 \mathrm{\Omega }$ and $30 \mathrm{\Omega }$, respectively. If the resistances are inter changed, the balance point shifts by

Figure shows a potentiometer. Length of the potentiometer wire $AB$ is $100 \mathrm{cm}$ and its resistance is $100\Omega$. EMF of the battery $E$ is $2 \mathrm{V}$. A resistance $R$ of $50\Omega$ draws current from the potentiometer. What is the voltage across $R$ when the sliding contact $C$is at the mid-point of $AB ?$

An inverter battery operated on $24 \mathrm{V}$ and has negligible internal resistance. It is rated at $140$ ampere-hour. What external resistance would have to be connected to the battery, if it were to be discharged in $14$hours.

In the circuit, the galvanometer $G$ shows zero deflection. If the batteries $A$ and $B$ have negligible internal resistance, then the value of $R$ is