Kirchhoff’s Laws of Electrical Network

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Kirchhoff’s Laws of Electrical Network: Overview

This topic covers concepts such as Kirchhoff's law, Kirchhoff's first law, method to solve complex circuit using Kirchhoff's law, and the sign convention for Kirchhoff's law.

Important Questions on Kirchhoff’s Laws of Electrical Network

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Which of the following rule may be used to obtain the values of the three unknown currents in the branches (shown) of the circuit given below?
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Apply Kirchhoff’s rules to the loops ACBPA and ACBQA to write the expressions for the currents  I1, I2  and   I 3  in the network.
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State Kirchhoff’s rules. Use these rules to write the expressions for the currents  I1, I2 and I 3 in the circuit diagram shown.

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Two cells of emf 1.5 V and 2 V and internal resistance 1 ohm and 2 ohm respectively are connected in parallel to pass a current in the same direction through an external resistance of 5 ohm.

Using Kirchhoff’s laws, calculate the current through each branch of the circuit and potential difference across the 5 ohm resistor.

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Explain Kirchhoff's laws with examples.

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A battery of internal resistance 4 Ω is connected to the network of resistances, as shown in the figure. In order that the maximum power can be delivered to the network, the value of R in Ω should be

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In the circuit shown in the figure. AR3 is a variable resistance

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As the value R3 is changed, current I though the cell varies as shown. Obviously, the variation is asymptotic, i.e. I  6 A as R3 . Ratio of resistances R1 and R2 will be: 

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What is Kirchhoff's current law formula?

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What does Kirchhoff's current law say?

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What is the sign convention in battery technology?

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What do you mean by sign convention?

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What is Kirchhoff's 2nd law write down the sign convention for currents and EMF s?

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In the circuit shown in the figure, reading of voltmeter is V1 when S1 is closed, reading of voltmeter is V2 when only S2 is closed and reading of voltmeter is V3 when both S1 and S2 are closed. Then -

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In the circuit shown, the potential difference across PQ will be nearest to 

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In the shown circuit the resistance R can be varied
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The variation of current through R against R is correctly plotted as:

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In the circuit shown, the value of R in ohm that will result in no current through the 30 V battery, is:

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Kirchhoff's first law and second law, proves the

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Consider the part of the circuit shown. What is the value of current I, if the battery is ideal?

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Kirchhoff's first law is based on conservation of

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Kirchhoff’s second law states that the total sum of currents entering into a node is zero.