each of the resistors in the circuit below can safely dissipate 10 watts. what i

Question

each of the resistors in the circuit below can safely dissipate 10 watts. what is the maximym power the entire circuit can dissipate? r1 =6 r2=4 r3=2

est No. General Physics 2: Fall 1985 Name Dr. Frederick P. Montana, Ph.D. You are to write on all four (4) of the following four (4) problems. Smu may work the problems in any order. Start each problem on a new page. Number your so tions as the the problems are numbered here. A correct answer either numerical or fo, la al be considered wrong unless you SHow ALL WORK. watts. What is the 1. Each of the resistors in the circuit below can safely dissipate 10.0 Ra 4. n, maximum power the entire circuit can dissipate? Take R1 6.00 o, and R3 2.00 Res4 bmp (S) Physics 2 Edition, Artti hu Benjamin Cummings, M Park, CA 1982, Problem LB-6, p 445. Find the 2. Two parallel wires 0.20u m apart carry currents in opposite directions of s oo A the field between the wires 0.0500 m from one of them 0.150 m from and uram showing all directions

Explanation / Answer

If i current flows From R1, then current from R2 + current from R3 = i

Current will be divided between R2 and R3 in inverse proportion of resistance

So, through R2, current = i/3 and through r3, current = 2*i/3

Power = I^2*R

So, for maximum power in circuit, power across one or more resistors must be 10 watts and for minimum value of i circuit would be safe

For R1,

I^2*R = i^2*6 = 10, i^2 = 5/3

For R2,

I^2*R = (i/3)^2*4 = 10, i^2 = 45/2

For R3,

I^2*R =(2*i/3)^2*2 = 10, i^2 = 45/4

So, for i = sqrt(5/3) circuit will safely discipate maximum power

Total power = i^2*6 + (i/3)^2*4 + (2*i/3)^2*2 = 12.22 Watts

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