Given is = 4 A, what is the current i, ?So2010O 1.0 A0.25 A3.0 AO 1.5 AOuectien 12

Answered: Given is = 4 A, what is the current i,…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

Given is = 4 A, what is the current i, ?
So
20
10
O 1.0 A
0.25 A
3.0 A
O 1.5 A
Ouectien 12

Expert Solution

Step 1

To solve the above circuit, the voltage and current divider rule should be studied:

Current Divider Rule:

To solve the above-given problem, one should understand the current division rule.

The current division rule says:

If there are two resistances (R₁ and R₂) in parallel and the total current in the circuit is I, then the current divided among them is I₁ and I₂ and is given by the formula below:

$\begin{array}{rcl} I_{1} & = & I \times \frac{R_{2}}{R_{1} + R_{2}} \\ I_{2} & = & I \times \frac{R_{1}}{R_{1} + R_{2}} \end{array}$

Voltage divider rule:

To solve the above problem, an understanding of the voltage divider rule is required.

The voltage divider rule says that when the number of elements says resistors are connected in series across a voltage source, then the voltage across each element can be found using this rule.

Say two resistors R₁ and R₂ are connected in series and voltage across them is V₁ and V₂, respectively, and the combination is connected across a voltage source of V; then, mathematically the value of V₁ and V₂ is given as:

$V_{1} = V \times \frac{R_{1}}{R_{1} + R_{2}}$

and

$V_{2} = V \times \frac{R_{2}}{R_{1} + R_{2}}$

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