Answer to Question #187252 in Electric Circuits for hunny

Question

Calculate the unknown voltages and currents given in using Ohm’s Law, KVL and KCL.

http://prnt.sc/129b3m1

Where Vs=10 V and all resistances are =1kΩ

Answer 1

Total resistance of the circuit,

$R=\bigg(\dfrac{1}{n_1+n_2}+\dfrac{1}{n_3}\bigg)^{-1}+n_4$

$R=\bigg(\dfrac{1}{1+1}+\dfrac{1}{1}\bigg)^{-1}+1$

$R=\dfrac{5}{3}\space \Omega$

EMF of cell, $V_s=10\space V$

Current in the circuit, $i=\dfrac{V}{R}=\dfrac{10\times3}{5}=6\space A$

Applying KCl in loop 1,

$i_1n_1+i_1n_2-(i-i_1)n_3=0$

$2i_1=6-i_1$

$i_1=3\space A$