(896) Problem 4: Consider the three resistors R1 = 18 , R2 = 31 , and R3 = 81 in

Question

(896) Problem 4: Consider the three resistors R1 = 18 , R2 = 31 , and R3 = 81 in the configuration shown in the figure. A potential difference V-2.5 V is applied between A and B A R ©theexpertta.com 25% Part (a) Calculate the numerical value of the total resistance R of this circuit, in ohms 25% Part (b) Calculate the numerical value of the current J traveling from A to B, in amperes 25% Part (c) Calculate the numerical value of12 traveling through the resistor R2, in amperes. Grade Summa Deductions Potential 0% 100% cosO cotan0 asin0 acos0 sino Subimissions Attempts remaining: 4 acotansinh) 20 per attempt) detailed view cosh0 tanh0 cotanh0 0% Degrees Radians Submit Hint Hints: 0% deduction per hint. Hints r Feedback: 0% deduction per feedback -là 25% Part (d) Calculate the numerical value of 13 traveling through the resistor R3. in amperes

Explanation / Answer

As per the question

R2 and R3 are in parallel and R1 in series

First find resistance between R2 and R3

1/R= 1/R2 +1/R3

1/R=1/31+1/81 On solving this

R=22.72 Ohm

Now R1 and R are in series Hence

Total R= 22.72 + R1

R=22.72+18 =40.72Ohm

Part B) To find the current

We know that

Current I=V/R where as V =2.5V and R =40.72Ohm

Therefore I= 2.5/40.72 =0.061 A

Part C) and Part D more information is needed.

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