Question

Two resistance 3 ohm and 2 ohm are in parallel connection and a potential difference of 12 V is applied across them.Find
a) The equivalent resistance of the parallel combinations.
b) The circuit current and
c) The branch currents.

Answer 1

(a) Req $=\frac{3\times 2}{3+2}=\frac{6}{5}=1.2\Omega$

(b) $V=IR\Rightarrow I=\frac{V}{R}$

$\Rightarrow I=\frac{12}{1.2}=10A$

(c) $3(10-i)=2i$ ($\because$ Potential drop in parallel combination are same)

$\Rightarrow 30-3i=2i\Rightarrow 30=5i\Rightarrow i=6A$

Current in $2\Omega$ resistor is $=i=6A$

Current in $3\Omega$ resistor is $=10-i=4A$