Answer:
1. When Resistors are connected in Parallel, they gets same amount of Potential Difference.
2. We know that, in a Parallel Combination, the total current flowing in the circuit is equal to the sum of the currents flowing accross each resistor.
Therefore, I = I1 + I2 + I3 .........(Eq. 1)
3. The Potential Difference(V) remains constant accross all the resistors.
4. Connect the circuit as shown in the figure.
5. The current(I) gets divided into 3 parts I1,I2,I3 accross R1,R2,R3 respectively.
6. Let the equivalent resistance provided by all the three resistors be Req.
7. According to the ohm's law,
Req = V/I
I = V/Req
8. The currents I1,I2 and I3 accross R1,R2 and R3 are given by I1=V/R1, I2=V/R2, I3=V/R3.
From Eq. 1,
I = I1 + I2 + I3
V/Req = V/R1 + V/R2 + V/R3
V(1/Req) = V(1/R1 + 1/R2 + 1/R3)
1/Req = 1/R1 + 1/R2 + 1/R3
It’s fascinating how the equivalent resistance in a parallel circuit ends up being the sum of the inverses of the individual resistances. If you need more help with this concept or want to see it applied in different scenarios, a Physics tuition session could be really beneficial.
ReplyDelete