Chapter 5, Problem 1TFQ

To determine

To find the total conductance of parallel resistor by adding the conductance of each resistor.

Answer to Problem 1TFQ

Given statement is true.

Explanation of Solution

Concept Used:

By using Thevnin theorem in which the resistor are being arranged in parallel

  

The equivalent resistance of the circuit in above given figure is given below.

  $\frac{1}{R_t}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}\mathrm{.......}+\frac{1}{R_n}\mathrm{....}(1)$

The reciprocal of the resistance is known as conductance symbolize by G and is expressed as.

  $G=\frac{1}{R}\mathrm{....}(2)$

From the equation (1) and (2)

  $G_T=G_1+G_2+G_3+\mathrm{......}+G_n\mathrm{......}(3)$

Hence from the equation (3) it conclude that to find the total conductance of parallel

Resistor can simply add the conductance.

Conclusion:-

Hence the given statement is true