Question

In the above circuit, find out the unknown resistance R.

• A. $6\Omega$
• B. $8\Omega$
• C. $2\Omega$
• D. $4\Omega$

Answer 1

The correct option is D $4\Omega$

Applying KCL at node A -

$i_1+i_2+i_3=0I+1-6=0I=5A$

Applying KVL in loop 1 -

$\Sigma IR+\Sigma E=0-18-2\Omega \times 1A+R\times 5A=05R=20R=4\Omega$