Electricity Questions

When a wire of uniform cross-section a, length l and resistance R is bent into a complete circle, resistance between two of diametrically opposite points will be :

A 5-A fuse wire can withstand a maximum power of 1 W in circuit. The resistance of the fuse wire is :

Two batteries, one of emf 18 V and internal resistance 2 Ω, and the other of emf 12 V and internal resistance 1 Ω, are connected as shown. The voltmeter V will record a reading of :

A network of four capacitors of capacity equal to C1 = C, C2 = 2C, C3 = 3C and C4 = 4C are connected to a battery as shown in the figure. The ratio of the charges on C2 and C4 is :

For the network shown in the figure, the value of the current i is :

In a circuit, L, C and R are connected in series with an alternating voltage source of frequency f. The current leads the voltage by 45°. The value of C is :

In the given circuit the reading of voltmeter $V_1$ and $V_2$ are $300\text{ volts}$ each. The reading of the voltmeter $V_3$ and ammeter $A$ are respectively:

Two batteries, one of emf 18 V and internal resistance 2 Ω, and the other of emf 12 V and internal resistance 1 Ω, are connected as shown. The voltmeter V will record a reading of :

In producing chlorine by electrolysis $100\text{ kW}$ power at $125\text{ V}$ is being consumed. How much chlorine per minute is liberated (E.C.E. of chlorine is $0.367\times 10^{-6}\text{ kg/C}$)?

Consider the following two statements:
(A) Kirchhoff's junction law follows from the conservation of charge.
(B) Kirchhoff's loop law follows from the conservation of energy.
Which of the following is correct?

A galvanometer has a coil of resistance $100\text{ ohm}$ and gives a full scale deflection for $30\text{ mA}$ current. If it is to work as a voltmeter of $30\text{ volt}$ range, the resistance required to be added will be:

A potentiometer circuit is set up as shown. The potential gradient, across the potentiometer wire, is $k\text{ volt/cm}$ and the ammeter reads $1.0\text{ A}$ when two way key is switched off. The balance points, when the key between the terminals (i) 1 and 2 (ii) 1 and 3, is plugged in, are found to be at lengths $l_1\text{ cm}$ and $l_2\text{ cm}$ respectively. The magnitudes, of the resistors $R$ and $X$, in ohms, are:

A series combination of $n_1$ capacitors, each of value $C_1$, is charged by a source of potential difference $4V$. When another parallel combination of $n_2$ capacitors, each of value $C_2$, is charged by a source of potential difference $V$, it has the same (total) energy stored in it, as the first combination has. The value of $C_2$, in terms of $C_1$, is then:

A square surface of side $L\text{ meter}$ in the plane of the paper is placed in a uniform electric field $E\text{ (volt/m)}$ acting along the same plane at an angle $\theta$ with the horizontal side of the square as shown in figure. The electric flux linked to the surface, in units of volt-m, is:

Two positive ions, each carrying a charge $q$, are separated by a distance $d$. If $F$ is the force of repulsion between the ions, the number of electrons missing from each ion will be ($e$ being the charge on an electron):

The dimension of $\frac{1}{2}{ϵ}_0{E}^2$, where ${ϵ}_0$ is permittivity of free space and $E$ is electric field, is:

For the network shown in the figure, the value of the current i is :

A network of four capacitors of capacity equal to C1 = C, C2 = 2C, C3 = 3C and C4 = 4C are connected to a battery as shown in the figure. The ratio of the charges on C2 an C4 is :

Two batteries, one of emf 18 V and internal resistance 2Ω, and the other of emf 12 V and internal resistance 1Ω, are connected as shown. The voltmeter V will record a reading of :

In a circuit, L, C and R are connected in series with an alternating voltage source of frequency f. The current leads the voltage by 45°. The value of C is :

For the network shown in the figure, the value of the current i is :

A network of four capacitors of capacity equal to C1 = C, C2 = 2C, C3 = 3C and C4 = 4C are connected to a battery as shown in the figure. The ratio of the charges on C2 an C4 is :