This is a compound circuit. You are given values for R1 [Given] and R2 [Given]and the voltage E [Given] of the battery in the circuit. You want to find R3 such that the current out of the battery is the value of I [Given] in mA. We have Ohm's Law: E= RegI Thus: Reg = E /I , So you know Req right off since & and I are given. R2 and R3 are in parallel so that: 1 R, R, R23 R1 Rị is in series with R2 and R3, so that: Req = R1 + R23 or R2 R3 R, = R, + eq R, R, We already know Reg = E /I. R1 and R2 are given so the only unknown is R3. Solve for R3. Steps: R4-R, R R3 R,- R R, R, `eq R. -R R2 R, eq R3 1 R,-R , R, eq This is the algrebraic soltion for R3 |I

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Chapter1: Units, Trigonometry. And Vectors
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Suppose E = 10.0 V, R1 = 180 ohms, and R2 = 350 ohms. See attached.

What value of R3 do we select so the battery supplies 24mA?  I think first we convert latter, then...

This is a compound circuit.
You are given values for R1 [Given] and R2 [Given]and the voltage E [Given] of the
battery in the circuit. You want to find R3 such that the current out of the battery is the
value of I [Given] in mA.
We have Ohm's Law:
E= RegI
Thus:
Reg = E /I , So you know Req right off since & and I are given.
R2 and R3 are in parallel so that:
1
R, R,
R23
R1
Rị is in series with R2 and R3, so that:
Req = R1 + R23
or
R2
R3
R, = R, +
eq
R, R,
We already know Reg = E /I. R1 and R2 are given so the only unknown is R3.
Solve for R3. Steps:
R4-R,
R R3
R,- R R, R,
`eq
R.
-R R2
R,
eq
R3
1
R,-R
, R,
eq
This is the algrebraic soltion for R3
|I
Transcribed Image Text:This is a compound circuit. You are given values for R1 [Given] and R2 [Given]and the voltage E [Given] of the battery in the circuit. You want to find R3 such that the current out of the battery is the value of I [Given] in mA. We have Ohm's Law: E= RegI Thus: Reg = E /I , So you know Req right off since & and I are given. R2 and R3 are in parallel so that: 1 R, R, R23 R1 Rị is in series with R2 and R3, so that: Req = R1 + R23 or R2 R3 R, = R, + eq R, R, We already know Reg = E /I. R1 and R2 are given so the only unknown is R3. Solve for R3. Steps: R4-R, R R3 R,- R R, R, `eq R. -R R2 R, eq R3 1 R,-R , R, eq This is the algrebraic soltion for R3 |I
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