Consider the following figure. (Assume V = 20.0 V, R 1 = 0.02 ?, and R 2 = 6.54

Question

Consider the following figure. (Assume V = 20.0 V, R1 = 0.02 ?, and R2 = 6.54 ?.)

(a) Is it possible to reduce the circuit shown in the figure above to a single equivalent resistor connected across the battery? Explain.

This answer has not been graded yet.

(b) Find the current in the 0.02-? resistor.
A

(c) Calculate the power delivered by the battery to the circuit.
W

Consider the following figure. (Assume V = 20.0 V, R1 = 0.02 ?, and R2 = 6.54 ?.) (a) Is it possible to reduce the circuit shown in the figure above to a single equivalent resistor connected across the battery? Explain. This answer has not been graded yet. (b) Find the current in the 0.02-? resistor. A (c) Calculate the power delivered by the battery to the circuit. W

Explanation / Answer

a)

Here , for resistances in parallel ,

1/Rp = 1/R1 + 1/R2

for resistance in series ,

Rs = R1 + R2 + ..

Now, 1/Rp = 1/3 + 1/6.54

Rp = 2.06 Ohm

Now, Req = 0.02 + 2.06 + 4

Req = 6.08 Ohm

the equivalent resistance is 6.08 Ohm

b)

Now, Using Ohm's law

V = I*R

I = 20/6.08

I = 3.29 A

the current in the 0.02 Ohm is 3.29 A

c)

Power = V*I

Power = 20 * 3.29

Power = 65.83 W

the power delivered by the battery is 65.83 W

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