Question

Three $2\Omega$ resistors, $A,B$ and $C$ are connected as shown in the figure. Each of them can withstand a maximum power of $18\text{W}$ without melting. Find the maximum current that can flow through the given section of a circuit.

• A. $5\text{A}$
• B. $9\text{A}$
• C. $3\text{A}$
• D. $6\text{A}$

Answer 1

The correct option is C $3\text{A}$


From the above section of a circuit, we can see that maximum current will pass through resistor $A$, while current will be divided between resistors $B$ and $C$.

So, the chance of melting of resistor $A$ in first is high.

Therefore, $P=i^{2}R$

$\Rightarrow 18=i^2\times 2$

$\Rightarrow i=3\text{A}$

Hence, option $\left(C\right)$ is the correct answer.