(a) How much current is delivered to the circuit by the battery? 1 A (b) What is

Question

(a) How much current is delivered to the circuit by the battery?
1      A

(b) What is the current in each resistor?
I1.0
2      A
I3.9
3      A
I5.9
4      A

(c) How much power is delivered to each resistor?
P1.0
5      W
P3.9
6      W
P5.9
7      W

(d) How does this power compare with the power delivered to the total equivalent resistance?
Psum
8      W
Ptotal
9      W Three resistors with values of 1.0 Ohm, 3.9 Ohm, and 5.9 Ohm, respectively are connected in parallel in a circuit with a 24 V battery. How much current is delivered to the circuit by the battery? What is the current in each resistor? How much power is delivered to each resistor? How does this power compare with the power delivered to the total equivalent resistance?

Explanation / Answer

1/Reff = 1/1 + 1/3.9 + 1/5.9

Reff = 0.7 ohm

a) current i = V/R = 24/0.7 = 34.22 A

b) current in 1 ohm resistor i1 = 24/1 = 24 A
current in 3.9 ohm resistor i2 = 24/3.9 = 6.154 A

current in 5.9 ohm resistor i3 = 24/5.9 = 4.0677 A

c) power in 1 ohm resistor = i1^2*R1 = 24^2*1 = 576 W

power in 3.9 ohm resistor = i2^2*R2 = 6.154^2*3.9 = 147.7 W

power in 5.9 ohm resistor = i3^2*R3 = 4.0677^2*5.9 = 97.62 W

d) Psum = 576 + 147.7 + 97.62 = 821.31 W

e) Ptotal = V*I = 24* 34.22 = 821.28 W

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