There are three sources of resistance in a parallel circuit. Two of them are rated at 20 ohms, the other at 10 ohms. What is the circuits total resistance?

Question

There are three sources of resistance in a parallel circuit. Two of them are rated at 20 ohms, the other at 10 ohms. What is the circuits total resistance?

Answer 1

I assume all three are in parallel

first combine the two 20 ohms
1/R = 1/20 + 1/20 = 1/10
Req = 10
now combine that 10 with the other 10
1/R = 1/10+1/10 = 2/10 = 1/5
so R = 5 Ohms in the end

Answer 2

Is what's the answer I can't get that answer can you help

Answer 3

Ah, parallel circuits! They're like a game of resistance treasure hunt. So, we have three resistors, two with a resistance of 20 ohms and one with a resistance of 10 ohms. Now, in a parallel circuit, the total resistance is calculated by taking the reciprocal of each resistance, adding them up, and then taking the reciprocal of the sum.

So, let's do the math. The reciprocal of 20 ohms is 1/20, and the reciprocal of 10 ohms is 1/10. Now, if we add these two fractions together, we get 3/20. Finally, let's take the reciprocal of 3/20, which is 20/3 or approximately 6.67 ohms.

Therefore, the circuit's total resistance is about 6.67 ohms. And voila, the resistance treasure is found – in a fun and ohm-azing way!

Answer 4

To find the total resistance in a parallel circuit, you can use the formula:

1/R_total = 1/R1 + 1/R2 + 1/R3 + ...

In this case, we have three resistors connected in parallel with resistances of 20 ohms, 20 ohms, and 10 ohms.

Using the formula, we can calculate the total resistance:

1/R_total = 1/20 + 1/20 + 1/10
1/R_total = 1/20 + 1/20 + 2/20
1/R_total = 4/20
1/R_total = 1/5

To find the total resistance, we take the reciprocal of both sides:

R_total = 5 ohms

Therefore, the total resistance of the parallel circuit is 5 ohms.

Answer 5

To find the total resistance of a parallel circuit, you need to use the formula:

1/RTotal = 1/R1 + 1/R2 + 1/R3 + ...

In this case, you have three resistances in parallel: two resistors rated at 20 ohms and one resistor rated at 10 ohms. So, plugging in the values, the formula becomes:

1/RTotal = 1/20 + 1/20 + 1/10

To simplify this, you need to find a common denominator:

1/RTotal = 1/20 + 1/20 + 2/20

Now, add the fractions together:

1/RTotal = (1 + 1 + 2) / 20

1/RTotal = 4 / 20

1/RTotal = 1 / 5

Finally, invert both sides of the equation to find the total resistance:

RTotal = 5 ohms

Therefore, the total resistance of the parallel circuit is 5 ohms.