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Find the currents flowing in the circuit in Figure 21.52.

Chapter 21, Problem 38

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QUESTION:

Find the currents flowing in the circuit in Figure 21.52. Explicitly show how you follow the steps in the Problem-Solving Strategies for Series and Parallel Resistors.

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QUESTION:

Find the currents flowing in the circuit in Figure 21.52. Explicitly show how you follow the steps in the Problem-Solving Strategies for Series and Parallel Resistors.

ANSWER:

Step 1 of 6

Kirchhoff’s rules are used to determine unknown resistances, voltages and currents in a circuit. There are two rules:

Kirchhoff’s first rule (Junction rule):

This rule states that the algebraic sum of all the currents at a junction is zero.

\(\sum {{I_{junc}}}  = 0 \) …… (1)

Here, \(\sum {{I_{junc}}}\)  is the algebraic sum of all the currents at a junction.

Kirchhoff’s second rule (Loop rule):

This rule states that the algebraic sum of all the potential differences or voltages in a closed loop of a circuit is zero.

\(\sum {{V_{loop}}}  = 0\)  …… (2)

Here, \(\sum {{V_{loop}}}\)  is the algebraic sum of all the potential differences or voltages in a closed loop.

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