Three resistors of 10Ω,15Ω and 30Ω are connected in parallel. The resistance of the combination is:

Correct option is D

The correct answer is (d) 5Ω

Explanation: Let Rp be the equivalent resistance.  The given resistances are R₁=10Ω, R₂=15Ω, R₃=30Ω

$$\frac{1}{Rp}$$​=   ​$$\frac{1}{10}$$+ ​$$\frac{1}{15}$$ + ​$$\frac{1}{30}$$

Information Booster:

Practical Applications of Parallel Resistors:

• Power Distribution: Resistors in parallel are used in power distribution systems to divide current. For example, if you want to split the current among several components, you use parallel resistors to ensure that each component gets a fair share of the current without increasing the total resistance too much.

• Electrical Devices: Devices like fans or lights often have resistors in parallel to control their brightness or speed while maintaining consistent voltage across the components.