Question

Can you complete and EXPLAIN please?????:(

Answer 1

Answer:

Explanation:

Well you have the voltages right, and that is no trivial matter. Each one of the resistors in a parallel circuit sees the same input voltages (in this case 6).

Now I think it would be a good idea to fill in the the resistance column.

R1 = 3 ohms

R2 = 6 ohms

R3 = 2 ohms

The total resistance can be calculated in two ways. I'll get around to doing both of them but I'll do the conventional way first. One hint: the total resistance must be smaller than the smallest resistor. Read that sentence over a couple of times. What it means is that it must be less than 2 ohms in a parallel circuit.

1/r1 + 1/r2 + 1/r3 = 1/rt

1/3 + 1/6 + 1/2 = 1/rt

Change all the denominators to 6ths.

2/6 + 1/6 + 3/6 = 1/rt

(2 + 1 + 3)/6 = 6/6  = 1

rt = 1

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So the current I is V/R

V = 6

R = 1

Current = V/R = 6/1 = 6 amps.

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The current in each resistor is

I1 = V / R1

I1 = 6/3 = 2 amps

I2 = V/R2

I2 = 6/6 = 1 amp

I3 = 6/2 = 3 amps

The total is I1 + I2 + I3 = 2 + 1 + 3 = 6 amps.

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Remember I said there was 2 ways of figuring out the total resistance. I did one of them about. Here's the other.

R = V / It

R = 6 / 6

R = 1 ohm just what you got before.

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Power

P = V * I

P1 = 6 * 2 = 12 watts

P2 = 6*1   = 6 watts

P3 = 6*3 = 18 watts

Pt =            36 watts.

Pt can be done by using the voltage * the total current

Pt = 6 volts * 6 amps = 36 watts, just what you would expect.