If the resistances 1W, 2W, 3W, 4W are parallel, then the equivalent resistance is W mcq
Answers
Answer:
the answer is 12/25ohm
since the resistors(1,2,3,4) ohm are connected in parallel, so the equivalent resistance:-
1/Req= 1+1/2+1/3+1/4 ohm
1/Req=(12+6+4+3)/12 ohm
1/Req=25/12 ohm
Req=12/25 ohm
Step-by-step explanation:
Given:
Resistances: 1Ω, 2Ω, 3Ω, 4Ω
To find:
The equivalent resistance
Solution:
The equivalent resistance is 0.48Ω.
We can find the resistance by taking the given steps-
We know that the reciprocal of the equivalent resistance can be obtained by adding the reciprocals of all the resistances that are parallel.
Let the equivalent resistance be R.
We are given that the resistances are 1Ω, 2Ω, 3Ω, 4Ω.
So, R1=1Ω, R2=2Ω, R3=3Ω, and R4=4Ω
Now, 1/R=1/R1+1/R2+1/R3+1/R4
We can obtain the value of R by putting the values of all the resistances.
1/R=1/1+1/2+1/3+1/4
We will take the LCM of 1, 2, 3, and 4.
LCM of 1, 2, 3, and 4=24.
So, 1/R=24/24+12/24+8/24+6/24
1/R=(24+12+8+6)/24
1/R=50/24
R=24/50
R=12/25
R=0.48Ω
Therefore, the equivalent resistance is 0.48Ω.