A 3 ohm resistor having 2 A current will dissipate the power of

Answer: Option E

Explanation:

The power dissipated by a resistor is given by the formula:
$P=I^2\times R$, where
$P$ = Power in watts,
$I$ = Current in amperes,
$R$ = Resistance in ohms.

Given:
Current, $I=2A$
Resistance, $R=3\Omega$

Calculating power:
$P=(2{)}^2\times 3=4\times 3=12\text{watts}$

Hence, the power dissipated is 12 watts.

Therefore, the correct answer is Option E: 12 watts.