Parts H & I Consider the three resistors R_i = 21 Ohm, R_2 =55 Ohm, and R_3 = 73

Question

Parts H & I

Consider the three resistors R_i = 21 Ohm, R_2 =55 Ohm, and R_3 = 73 Ohm in the configuration shown in the figure. A potential difference Delta V = 5.5 V is applied between A and B. Express the equivalent resistance R_e of the combination of R_2 and R_3 in terms of R_2 and R_3. Express the total resistance R off the combination of all three resistors in terms of R_1, R_2 and R_3. Calculate the numerical value of the total resistance R in Ohm. Express the current I on R_1 in terms of the potential difference DeltaV between A and B and the equivalent resistance R. Calculate the numerical value of I in A. Express the voltage across R_2, DeltaV_2, in terms of DeltaV, I, and R_1. Express the current 1_2 through R_2 in terms of Delta V_2 and R_2. Calculate the numerical value of I_2 in A. Calculate the numerical value of I_3 through R_3.

Explanation / Answer

here,

R2 and R3 are in parallel , their equivalent resistance , R = R2 * R3 /( R2 + R3)

R = 55 * 73 /( 55 + 73) = 31.37 ohm

R1 and R in series , their equivalent resistance , Req = R1 + R = 52.37 ohm

the voltage across R2 or R3 , V2 = V - R1 * V/Req

V2 = 5.5 - 21 * 5.5 /52.37 = 3.29 V

h)

the numerical value of I2 = V2/R2 = 0.06 A

I)

the numerical value of I3 = V2/R3 = 0.045 A

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