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

If two bulbs of wattage $25\, W$ and $30\, W$,each rated at $220\, V$,are connected in series with a $440\, V$ supply,which bulb will fuse?

$A$ resistance network is connected to a battery as shown in the figure below. If the internal resistance of the battery is $5 \ \Omega$,then the value of $R$ (in $\Omega$) for maximum power delivered to the network is

$A$ cell of $emf$ $E$ and internal resistance $r$ is connected in series with an external resistance $nr$. Then,the ratio of the terminal potential difference to $emf$ is

$A$ battery of $emf$ $10 \;V$ and internal resistance $3\; \Omega$ is connected to a resistor. If the current in the circuit is $0.5 \;A$,what is the resistance of the resistor? What is the terminal voltage of the battery when the circuit is closed?

For the circuit shown,the value of current at time $t=3.2 \, s$ will be ...... $A$. (Voltage distribution $V(t)$ is shown by Figure $1$ and the circuit is shown in Figure $2$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module