Electronics - Parallel Circuits - Discussion

Let,

R1= 2ohm.
R2= 4ohm.
R3=6ohm and Vs=12 V.
and according to the question all the resistors connected in parallel.
P1=V^2/R1 =12*12/2 = 72 W.
P2 = V^2/R2 = 12*12/4 =36 W.
P3 = V^2/R3 = 12*12/6 = 24 W.

Now, you can see small resistance have greater power loss than other
Note:- All the values are an assumption you can check by posting of different values or different methods to remember.

The right answer should be the smallest resistance since from the formula P = V^2/R if R is small Power is greater.

In formula P = I^2 *R if R is small I would be large and P would also be the largest. In the formula P= I*V since R is small then I is large and since it is parallel so V is constant therefore P would still be the largest.

Ex. Given 3 components in parallel with 60 V source.

R1 = 20 ohms, V1 = 60V, I = 3A, P=IV = 180 W, P=V^2/R = 180W, P=I^2 * R= 180W.
R2 = 40 ohms, V2 = 60V, I = 1.5A, P=IV = 90W, P=V^2/R = 90W, P=I^2 * R= 180W.
R3 = 60 ohms, V3 = 60V, I = 1 A, P=IV = 60W, P=V^2/R = 60W, P=I^2 * R= 180W.

In conclusion, the one with the smallest resistance will always has the largest power.

Because W=I*I*R.

So small resistance have high current and power is square of the current.
So, Ans is the smallest resistance.

Great, Thanks @Shadan.

What is the difference between power loss and power?

@All.

As the question referred to the greatest power loss in which resistance, not the greatest power consumed.

Let put in a nutshell power loss proportional to resistor value, consider resistor as a load and load drop occurs in the resistor and at the same time loss component is there in resistor which is exhibited in terms of heat. If resistor value is high heat will be high and of course, loss is high.

If voltage across in parallel resistor is same so current flow is depends on the value of restistance of resistor.

High resistor have low current flow & power loss also low.

According to ohm's, the greater, the resistance, the least power loss and vice versa.

Please tell me the difference between power & power loss for a resistor. Why we have to think that there is a power loss in the resistor, what about power gain?

Current always choose low resistance path. So the current flow through the resister is high. And the voltage across all resisters is equal when they connected in parallel know apply p=vi.

So here i is high when its having small resistance value so therefore p also high through the resister which is having smaller value.