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Two resistors R1 and R2 that are connected in parallel,and are connected in series with another parallel circuit of R3 and R4. R1=15ohms, R3=2ohms, R4=8ohms,I2=3amps,V3=8V. Calculate R2 and Vt

2007-02-07 19:53:15 · 3 answers · asked by cypher kid 1 in Science & Mathematics Mathematics

3 answers

Calculate the combined resistance of R3 and R4 using the parallel formula.

Calculate the combined resistance of R1 and R2 using the parallel formula, although you don't know R2 so just write R2 in the formula.

Now use Ohm's Law to work out the total resistance, and set it equal to the sum of the two resistances you worked out earlier.

Solve for R2.

I don't know what Vt is since you never told us what you meant by it, but it should be obvious once you know all the resistnces.

2007-02-07 19:59:28 · answer #1 · answered by Gnomon 6 · 0 0

R1 and R2 is paralel = Rp1
R3 and R4 is paralel = Rp2
I2 = 3 amps
V3 =8Volts
R1=15ohms
R3=2ohms
R4=8ohms

V3=V4=Vp2 = 8Volts

I3=V3/R3
I3=8/2=4 amps

I4=V4/R4
I4=8/8=1 amp

It = I3+I4
It = 4 + 1 = 5 amps

It = I1+I2
I1=It-I2
I1=5 - 3= 2 amps

V1=V2=Vp1=?

V1=I1 * R1
V1=2*15=30 Volts

R2=V2/I2
R2=30/3
R2=10 Ohm

Vt=Vp1+Vp2
Vt=30+8 =38 Volts


Conclusion:
R2 = 10 Ohm
Vt = 38 Volts

2007-02-07 21:42:29 · answer #2 · answered by safrodin 3 · 0 0

R2 = 10 ohms
Vt (total voltage) = 38V

-----------------------------
Total current It = V3 *( 1/R3 + 1/R4) = 8 * .625 = 5A

I1 = It - I2 = 5 - 3 = 2A
V1 = V2 = I1 * R1 = 2 * 15 = 30V
R2 = V2 / I2 = 30 / 3 = 15 ohms

Vt = V1 + V3

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I think the question should be in Physics or Engineering

2007-02-07 20:11:28 · answer #3 · answered by pragyana 3 · 1 0

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