Question

Use Superposition to find Current passing thru 6 ohm resistor

Use Superposition method to find the current passing through the 6 ohm resistor as shown below. 2012 100 V 4 A 25 V 9Ω 30(2

Answer 1

Superposition theorem: Consider one independent source at a time by replacing other sources with their internal resistance and calculate required quantity and finally add all value's Voltage source - short circuited (R_in -= 0) Current source - open circuited (R_in = infinity) Case 1: rightarrow consider 100 V 4 A rightarrow open circuited sources 25 V rightarrow short circuited \r\n write K V L equation + 100 - 6 i - 20 i - 30 i - 9 i = 0 100 = 65 i i_100 V = 100/65 A = 20/13 A . Case 2: consider 4 A source 15 Ohm and 50 Ohm are in parallel, so current division takes place i = 50/50 + 15 times 4 i = 50/65 times 4 i = 200/65 A. 4 A \r\n I_1 = R_2/ R