Circuit Theory & Kirchhoff’s Laws questions with solutions

Showing 1–10 of 45 questions

• NumericmediumCurrent electricityCircuit Theory & Kirchhoff’s Laws

  What is the magnitude and direction of current i in figure, where all resistance are 4 Ω and all battery have an emf of 10 V? (Hint : This can be answered using only mental calculation)

  

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• MCQmediumCurrent electricityCircuit Theory & Kirchhoff’s Laws

  In the given figure R₁ = 10 Ω, R₂ = 8 Ω, R₃ = 4 Ω and R₄ = 8 Ω. Battery is ideal with emf 12V. Equivalent resistant of the circuit and current supplied by battery are respectively.

  

  Options

  • Option A

    12 Ω and 11.4 A

  • Option B

    10.5 Ω and 1.14 A

  • Option C

    10.5 Ω and 1 A

  • Option D

    12 Ω and 1 A

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• MCQmediumCurrent electricityCircuit Theory & Kirchhoff’s Laws

  When a current of 4 A flows within a battery from its positive to negative terminal, the potential difference across the battery is 12 volts. The potential difference across the battery is 9 volts when a current of 2 A flows within it from its negative to its positive terminal. The internal resistance and the e.m.f. of the battery are:-

  Options

  • Option A

    0.1 Ω, 4V

  • Option B

    0.2 Ω, 5V

  • Option C

    0.5 Ω, 10V

  • Option D

    0.7 Ω, 10V

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• Multi-correctmediumCurrent electricityCircuit Theory & Kirchhoff’s Laws

  In the circuit shown, E, F, G and H are cells of emf 2 V, 1 V, 3 V and 1 V, with internal resistances 2 Ω, 1 Ω, 3 Ω and 1 Ω respectively. Select the correct statements.

  

  Select all that apply

  • Option A

    Potential at D - potential at B = -2/13 V

  • Option B

    Potential at D - potential at B = +2/13 V

  • Option C

    Potential at G = 21/13 V

  • Option D

    Potential at H = 19/13 V

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• NumericmediumCurrent electricityCircuit Theory & Kirchhoff’s Laws

  In the circuit shown in figure potential difference between point A and B is 16V. Find the current passing through 2Ω resistance.

  

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• MCQmediumCurrent electricityCircuit Theory & Kirchhoff’s Laws

  ln a balanced wheat stone bridge, current in the galvanometer is zero. It remains zero when:

  1)battery emf is increased

  1. 2)all resistances are increased by 10 ohms

  2. 3)all resistances are made five times

  3. 4)the battery and the galvanometer are interchanged

  Options

  • Option A

    Only (1) is correct

  • Option B

    (1), (2) and (3) are correct

  • Option C

    (1), (3) and (4) are correct

  • Option D

    (1) and (3) are correct

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• MCQmediumCurrent electricityCircuit Theory & Kirchhoff’s Laws

  In the given circuit, the current in resistance R₃ is :

  

  Options

  • Option A

    1 A

  • Option B

    1.5 A

  • Option C

    2 A

  • Option D

    2.5 A

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• NumericmediumCurrent electricityCircuit Theory & Kirchhoff’s Laws

  A Wheatstone bridge is initially balanced with R₁ = 60 Ω, R₂ = 100 Ω, R₃ = 300 Ω and R₄ = 500 Ω. The temperature coefficient of R₃ is 0.0004 °C⁻¹. If the temperature of R₃ is increased by 100 °C, find the voltage developed between S and T.

  

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• MCQmediumCurrent electricityCircuit Theory & Kirchhoff’s Laws

  A Wheatstone bridge is initially at room temperature and all arms of the bridge have same value of resistances (R₁ = R₂ = R₃ = R₄). When R₃ resistance is heated to some temperature, its resistance value has gone up by 10%. The potential difference V(A) - V(B), after R₃ is heated, is _____ V.

  

  Options

  • Option A

    1.05

  • Option B

    0

  • Option C

    0.95

  • Option D

    2

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• MCQmediumCurrent electricityCircuit Theory & Kirchhoff’s Laws

  

  Refer to the multi-branch circuit shown in the figure. Using the source polarities and resistor values shown there, what are the potential difference V(A)-V(B) and the current through the external branch between A and B?

  Options

  • Option A

    24 V and 12 A

  • Option B

    24 V and 4 A

  • Option C

    18 V and 12 A

  • Option D

    27 V and 4 A

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