Embibe Experts Solutions for Chapter: Current Electricity, Exercise 2: Exercise 2

Consider the circuit shown below where all resistors are of $1 \mathrm{k\Omega }$

If a current of magnitude $1 \mathrm{mA}$ flows through the resistor marked $X$, what is the potential difference measured between point $P$ and $Q$.

A light bulb of resistance $R=16 \mathrm{\Omega }$ is attached in series with an infinite resistor network with identical resistances r as shown below. A $10 \mathrm{V}$ battery derives current in the circuit. What should be the value of $r$ such that the bulb dissipated about $1 \mathrm{W}$ of power.

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The primary and the secondary coils of a transformer contains $10$ and $100$ $\mathrm{turns}$ respectively. The primary coil is connected to a battery that supplies a constant voltage of $1.5 \mathrm{Volts}$ . The voltage across the secondary coil is

Water falls down a $500.0 \mathrm{m}$ shaft to reach a turbine which generates electricity. How much water must fall per second in order to generate $1.00\times {10}^9$ watts of power ? (Assume $50\%$ efficiency of conversion and $g=10 \mathrm{m} {\mathrm{s}}^{-1}$)

In the circuit, wire $1$ is of negligible resistance. Then

In the circuit shown below (on the left) the resistance and the emf source are both variable. The graph of seven readings of the voltmeter and the ammeter ($V$ and $I$, respectively) for different settings of resistance and the emf, taken at equal intervals of time $\mathrm{\Delta }t$, are shown (on the right) by the dots connected by the curve $EFGH$. Consider the internal resistance of the battery to be negligible and the voltmeter and ammeter to be ideal devices. Take $R_0\equiv \frac{V_0}{I_0}$.

Then the plot of the resistance as a function of time corresponding to the curve $EFGH$ is given by

In a particle accelerator, a current of $500 \mu \mathrm{A}$ is carried by a proton beam in which each proton has speed of $3\times {10}^7 \mathrm{m} {\mathrm{s}}^{-1}$. The cross-sectional area of the beam is $1.50 {\mathrm{mm}}^2$. The charge density in this beam in $\mathrm{Coulomb} {\mathrm{m}}^{-3}$ is close to

A steady current $I$ is set up in a wire whose cross-sectional area decreases in the direction of the flow of the current. Then, as we examine the narrowing region