You have three resistors R1 = 28.8 ohm, R2 = 43 ohm and R3 = 52.4 ohm, and batte

Question

You have three resistors R1 = 28.8 ohm, R2 = 43 ohm and R3 = 52.4 ohm, and battery of voltage V = 27.9 V. In procedure 1, the three resistors are connected in series across the battery. Find - R_TOT, the effective resistance of the circuit: ohm -V_1 the potential difference across R:1 V In procedure 2, the three resistors are connected in parallel across the battery. Find: - R_TOT, the effective resistance of the circuit: ohm, I_1, the current through R1: A Look at the diagram for Procedure 3. Suppose these resistors are placed into that circuit, with R4 = 12.6 ohm and V = 27.9 V. Find I_TOT, the total current passing through the battery. A

Explanation / Answer

R1 = 28.8 Ohm
R2 = 43 Ohm
R3 = 52.4 Ohm
V = 27.9 V

(A)
In series, Equivalent Resistance RTOT = R1 + R2 + R3
RTOT = 28.8 + 43 + 52.4 ohm
RTOT = 124.2 ohm

I = V/Req
I = 27.9/124.2
I = 0.225 A

Potential Difference across R1 = I * R1
Potential Difference across R1 = 0.225 * 28.8 v
Potential Difference across R1 = 6.48 v

(B)
In Parallel, Equivalent Resistance RTOT = 1/(1/R1 +1/ R2 +1/ R3)
RTOT = 1/(1/28.8 +1/ 43 +1/ 52.4)
RTOT = 13 ohm

V = I1 * R1
I1 = V/R1
I1 = 27.9/28.8
I1 = 0.968 A

For third part Diagram is not given.

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