Resistors Network Balancing and Meter Bridge Quiz
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Questions and Answers

What is Kirchhoff's second law based on?

  • Conservation of energy (correct)
  • Conservation of mass
  • Conservation of charge
  • Conservation of momentum

To minimize the error due to contact resistance in a meter bridge, what should be done?

  • Using uniform wire
  • Connecting both resistances only in one gap
  • Interchanging the position of known and unknown resistances (correct)
  • Obtaining the null point near the ends of the wire

What is the SI unit of potential gradient?

  • V-m
  • V/cm
  • V-cm
  • V/m (correct)

Which instrument can measure terminal potential difference as well as electromotive force?

<p>Potentiometer (B)</p> Signup and view all the answers

When the null point is obtained in a potentiometer, where is the current drawn from?

<p>Main battery (A)</p> Signup and view all the answers

If the potential gradient of a wire decreases, what happens to its length?

<p>Increases (C)</p> Signup and view all the answers

What is the percentage error in the voltmeter reading when it balances at 350 cm with a reading of 1.8V, given that the standard cell's emf is 1.5V and was balanced at 300 cm?

<p>2.8571% (D)</p> Signup and view all the answers

How would you determine the internal resistance of a cell using a potentiometer?

<p>By finding the ratio of potential differences across the cell and the potentiometer wire. (D)</p> Signup and view all the answers

Why is a potentiometer preferred over a voltmeter for measuring emf?

<p>Potentiometer provides more accurate and direct readings. (C)</p> Signup and view all the answers

In the right hand rule, what is the direction of magnetic induction if the current flows in an anticlockwise direction?

<p>Perpendicular and outwards (B)</p> Signup and view all the answers

For a conductor with two straight segments of length L and a semicircular segment with radius R carrying a current I, what is the magnetic field at point P?

<p>(a) (A)</p> Signup and view all the answers

What happens to a stationary electron when exposed to a strong magnetic field?

<p>The electron starts moving in circles. (B)</p> Signup and view all the answers

What is the resistance needed to be connected in series with a galvanometer to convert it into a voltmeter of range 4Vm?

<p>$3Vm$ (B)</p> Signup and view all the answers

In a meter bridge experiment, what happens if the balance point is found at 30 cm from the end A when the resistor R is 15 Ω (right gap)?

<p>Resistance of X is 15 Ω (left gap). (D)</p> Signup and view all the answers

How can errors in a meter bridge experiment be minimized?

<p>By ensuring good connections and avoiding parallax errors. (C)</p> Signup and view all the answers

What should be the resistance introduced in the resistance box to achieve a potential drop of one microvolt per cm in a potentiometer wire?

<p>$5 \times 10^{4} \Omega$ (C)</p> Signup and view all the answers

When comparing the emf's of two cells using a potentiometer by connecting them individually, what does the balance point indicate?

<p>Equal emf's of both cells. (D)</p> Signup and view all the answers

If a cell with an e.m.f of 2V and internal resistance of 0.5Ω is connected in series with another cell, what would be the effect on overall voltage and internal resistance?

<p>Increase in overall voltage, increase in internal resistance. (D)</p> Signup and view all the answers

Study Notes

Resistance and Meter Bridge

  • To balance a network, a 9 Ω resistance is connected across the 18 Ω resistance.
  • A galvanometer of resistance G can measure a maximum safe voltage of Vm.
  • To convert a galvanometer into a voltmeter of range nVm, a resistance of (n-1) G should be connected in series.

Meter Bridge Experiment

  • A meter bridge is used to determine unknown resistances.
  • A neat circuit diagram is required to explain the process.
  • Errors in the meter bridge experiment can occur due to:
    • Contact resistance
    • Gap resistance
  • These errors can be minimized by:
    • Interchanging the position of known and unknown resistances
    • Using a uniform wire

Potential Gradient

  • Potential gradient is measured in V/m.
  • It is measured using a potentiometer.
  • A potentiometer is used to compare the emf's of two cells by connecting the cells individually.

Potentiometer

  • A potentiometer is used to measure the emf of a cell.
  • It can be used to compare the emf's of two cells by connecting the cells individually or by the combination method.
  • The internal resistance of a cell can be determined using a potentiometer.
  • The formula for internal resistance can be derived using a potentiometer.

Magnetic Effect of Electric Current

  • According to the right-hand rule, the direction of magnetic induction is perpendicular and outwards if the current is directed in an anticlockwise direction.
  • The magnetic field B at point P can be calculated using the formula B = (μ₀ * I) / (4 * Ï€ * R).

Capacitance and Electric Potential

  • The capacitance of a parallel plate capacitor with a dielectric slab between the plates can be calculated using the formula C = (ε₀ * εr * A) / d.
  • The electric potential due to an electric dipole can be derived using the formula V = (p * cosθ) / (4 * Ï€ * ε₀ * r²).

Current Electricity

  • Kirchhoff's second law (voltage law) is based on the conservation of energy.
  • The error due to contact resistance in the meter bridge experiment can be minimized by interchanging the position of known and unknown resistances.
  • The SI unit of potential gradient is V/m.
  • A potentiometer can measure terminal potential difference as well as electromotive force (emf).
  • When null point is obtained in the potentiometer, the current is drawn from the main battery.
  • If the potential gradient of a wire decreases, its length increases.

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Description

Test your knowledge on balancing resistors network and using a meter bridge to determine unknown resistances. Questions include finding the resistance to balance a network and calculating the resistance needed to convert a galvanometer into a voltmeter of specific range.

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