The magnitude of i in ampere unit is | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let the total current entering the junction be $I = 1 \, A$. The circuit consists of three parallel branches.Branch $1$ has a resistance $R_1 = 60

Vedclass · Accepted Answer

$0.1$

Vedclass · Answer

(A) Let the total current entering the junction be $I = 1 \, A$. The circuit consists of three parallel branches.Branch $1$ has a resistance $R_1 = 60 \, \Omega$.Branch $2$ has a resistance $R_2 = 15 \, \Omega + 5 \, \Omega = 20 \, \Omega$.Branch $3$ has a resistance $R_3 = 10 \, \Omega$.The equivalent resistance $R_{eq}$ of the middle and bottom branches (which are in parallel) is given by:$\frac{1}{R_{23}} = \frac{1}{20} + \frac{1}{10} = \frac{1+2}{20} = \frac{3}{20} \implies R_{23} = \frac{20}{3} \, \Omega$.Now, the current $i$ in the top branch $(60 \, \Omega)$ can be found using the current divider rule between the top branch and the combined equivalent resistance of the other two branches $(R_{23} = 20/3 \, \Omega)$:$i = I 	imes \left( \frac{R_{23}}{R_1 + R_{23}} ight)$$i = 1 	imes \left( \frac{20/3}{60 + 20/3} ight) = \frac{20/3}{(180+20)/3} = \frac{20}{200} = 0.1 \, A$.Thus, the magnitude of $i$ is $0.1 \, A$.

The magnitude of $i$ in ampere unit is

Similar Questions

In the given circuit,if $E_1 = 4\,V$,$R_1 = 2\,\Omega$,$E_2 = 6\,V$,$R_2 = 2\,\Omega$,and $R_3 = 4\,\Omega$,what is the value of current $i_1$ in $A$?

In the circuit shown in the figure,the power dissipated as heat in the $6\,\Omega$ resistor is $6\,W$. What is the value of resistance $R$ in the circuit? ................ $\Omega$

The resistances in the following circuit are $R_1 = R_2 = R_3 = 6.0 \ \Omega$. The emf of the battery is $12 \ V$. When switch $S$ is closed, the potential across resistance $R_1$ changes by an amount:

$A$ resistor ${R_1}$ dissipates the power $P$ when connected to a certain generator. If the resistor ${R_2}$ is put in series with ${R_1}$,the power dissipated by ${R_1}$

Vedclass Test Series

Exam Paper Generator

Online Exam Module