Question types

Electric Current in Conductors question types

125 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

125
Questions
5
Question groups
5
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Sample Questions

Electric Current in Conductors questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

A current passes through a wire of non$-$uniform cross$-$section. Which of the following quantities are independent of the cross$-$section?
  1. The charge crossing in a given time interval.
  2. Drift speed.
  3. Current density.
  4. Free$-$electron density.
  • A
    Only $a$
  • B
    $a$ and $b$
  • $a$ and $d$
  • D
    None of these

Answer: C.

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A resistor of resistance $R$ is connected to an ideal battery. If the value of $R$ is decreased, the power dissipated in the resistor will:
  • A
    Increase.
  • Decrease.
  • C
    Remain unchanged.
  • D
    None of these

Answer: B.

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Two non$-$ideal batteries are connected in parallel. Consider the following statements:
$A.$ The equivalent emf is smaller than either of the two emfs.
$B.$ The equivalent internal resistance is smaller than either of the two internal resistances.
  • A
    Both $A$ and $B$ are correct.
  • B
    $A$ is correct but $B$ is wrong.
  • $B$ is correct but $A$ is wrong.
  • D
    Both $A$ and $B$ are wrong.

Answer: C.

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Identify the correct options:
  1. An ammeter should have small resistance.
  2. An ammeter should have large resistance.
  3. A voltmeter should have small resistance.
  4. A voltmeter should have large resistance.
  • A
    Only $A$
  • B
    $A$ and $B$
  • $A$ and $D$
  • D
    All of the  above

Answer: C.

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Two resistors $A$ and $B$ have resistances $R_A$ and $R_B$, respectively, and $R_A$
  • A
    $\rho _\text{A}>\rho _\text{B}$
  • B
    $\rho _\text{A}=\rho _\text{B}$
  • C
    $\rho _\text{A}<\rho _\text{B}$
  • The information is not sufficient to find the relation between $\rho _\text{A}$ and $\rho _\text{B}.$

Answer: D.

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Is work done by a battery always equal to the thermal energy developed in electrical circuit? What happens if a capacitor is connected in the circuit?
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Sometimes it is said that "heat is developed" in a resistance when there is an electric current in it. Recall that heat is defined as the energy being transferred due to temperature difference. Is the statement in quotes technically correct?
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Consider a circuit containing an ideal battery connected to a resistor. Do "work done by the battery" and "the thermal energy developed" represent two names of the same physical quantity?
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A parallel-plate capacitor is filled with a dielectric material of resistivity ρ and dielectric constant K. The capacitor is charged and disconnected from the charging source. The capacitor is slowly discharged through the dielectric. Show that the time constant of the discharge is independent of all geometrical parameters like the plate area or separation between the plates. Find this time constant.
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Q 173 Marks Question3 Marks
A capacitance C charged to a potential difference V is discharged by connecting its plates through a resistance R. Find the heat dissipated in one time constant after the connections are made. Do this by calculating $\int\text{i}^2\text{R}$ dt and also by finding the decrease in the energy stored in the capacitor.
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Q 183 Marks Question3 Marks
How many time constants will elapse before the current in a charging RC circuit drops to half of its initial value? Answer the same question for a discharging RC circuit.
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Q 193 Marks Question3 Marks
A capacitor of capacitance $10\mu\text{F}$ is connected across a battery of emf 6.0V through a resistance of $20\text{k}\Omega$ for 4.0s. The battery is then replaced by a thick wire. What will be the charge on the capacitor 4.0s after the battery is disconnected?
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Q 203 Marks Question3 Marks
What length of a copper wire of cross-sectional area $0.01mm^2$ will be needed to prepare a resistance of $1\text{k}\Omega?$ Resistivity of copper $=1.7\times10^{-8}\Omega\text{-m}.$
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Calculate the electric field in a copper wire of cross-sectional area $2.0mm^2$ carrying a current of 1A.
The resistivity of copper $=1.7\times10^{-8}\Omega\text{-m}.$
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The amount of charge that passes in time t through a cross-section of a wire is,
$Q(t) = At^2 + Bt + C$.
  1. Write the dimensional formulae for A, B and C.
  2. If the numerical values of A, B and C are 5, 3 and 1, respectively, in S.I units, find the value of the current at t = 5s.
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The plates of a capacitor of capacitance $10\mu\text{F},$ charged to $60\mu\text{C},$ are joined together by a wire of resistance $10\Omega$ at t = 0. Find the charge on the capacitor in the circuit at (a) t = 0 (b) $\text{t}=30\mu\text{s}$ (c) $\text{t}=120\mu\text{s}$ and (d) t = 1.0ms.
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