Three resistors of 12 ohm, 16 ohm and 48 ohm are connected in parallel. What is the net resistance?

Correct option is B

The correct answer is (B) 6 ohm.

Solution:

When resistors are connected in parallel, the net (or equivalent) resistance R_eq​ is given by the formula:

$$\frac{1}{R_{eq}} = \frac{1}{R_{1}} + \frac{1}{R_{2}} + \frac{1}{R_{3}}$$​

where:

• R₁= ohm
• R₂=16 ohm
• R₃=48 ohm

Substituting the values:

$$\frac{1}{R_{eq}} = \frac{1}{12} + \frac{1}{16} + \frac{1}{48}$$

Req=   $$\frac{8}{48} = \frac{1}{6}$$

R= 6 Ohm

The net resistance is 6 ohm, so the correct option is (B) 6 ohm.

Informaiton Booster:

Ohm's Law Definition:

• Ohm’s Law states that the current ($I$) flowing through a conductor between two points is directly proportional to the voltage ($V$) across the two points, provided the temperature and other physical conditions remain constant. Mathematically, it is expressed as:
• where $V$ is the voltage (in volts), $I$ is the current (in amperes), and $R$ is the resistance (in ohms).