Find the total current in the parallel circuit.
A) $4 \frac { 1 } { 6 }$ A
B) $5 \frac { 1 } { 6 }$ A
C) $4 \frac { 1 } { 8 }$ A
D) $4 \frac { 4 } { 5 }$ A
E) $5 \frac { 4 } { 5 }$ A

Question

Find the total current in the parallel circuit. 
A) $4 \frac { 1 } { 6 }$ A 
B) $5 \frac { 1 } { 6 }$ A 
C) $4 \frac { 1 } { 8 }$ A 
D) $4 \frac { 4 } { 5 }$ A 
E) $5 \frac { 4 } { 5 }$ A

Quizplus · Accepted Answer

Using the formula for total resistance in a parallel circuit: 
$$\frac{1}{R_{total}} = \frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}$$
$$\frac{1}{R_{total}} = \frac{1}{2}+\frac{1}{3}+\frac{1}{6} = \frac{7}{6}$$
$$R_{total} = \frac{6}{7}$$
Using Ohm's law, the total current is given by: 
$$I_{total} = \frac{V}{R_{total}} = \frac{14}{\frac{6}{7}} = \frac{98}{6} = 16 \frac{1}{3}\text{ A}$$
Therefore, the answer is B, $5 \frac { 1 } { 6 }$ A.

Find the Total Current in the Parallel Circuit 4164 \frac { 1 } { 6 }461​

Find the Total Current in the Parallel Circuit $4 \frac { 1 } { 6 }$