**Educational Content: Parallel Circuit Analysis****Diagram Analysis:**The diagram depicts a parallel circuit with three resistors (R1, R2, R3) connected between points A and B. A power source of 12V is connected across the circuit. The total current flowing from the source is denoted as IT. Individual currents flowing through each resistor are represented as I1, I2, and I3, respectively.**Given Data:**- The total power from the 12V source is 120 Watts.- Current I3 = 3 Amperes.- Resistor R2 = 4 Ohms.**Task:**Calculate the value of the resistor R1.**Solution Steps:**1. **Find Total Power Expression:** - Power (P) = Voltage (V) x Total Current (IT) - 120 W = 12V x IT - IT = 120 W / 12 V = 10 Amperes2. **Find Power Dissipated by R2:** - Voltage across R2 = 12 V (since it's parallel). - I2 = 12 V / 4 Ω = 3 Amperes.3. **Find Total Current Using Known Values:** - Since I2 = 3 A and I3 = 3 A, IT = I1 + I2 + I3. - 10 A = I1 + 3 A + 3 A - I1 = 10 A - 6 A - I1 = 4 Amperes.4. **Calculate R1:** - Voltage across R1 = 12 V. - Using Ohm's Law: V = I1 x R1 - 12 V = 4 A x R1 - R1 = 12 V / 4 A = 3 Ohms.Thus, the value of resistor R1 is 3 Ohms.

Given: The supplied voltage is 12 V. The power is 120 watts. I3 = 3 A, and R2=4 Ω.Calculation: Write the expression for the total current. IT=PV Here, IT is the total current, P is the supplied power, and V is the supplied voltage. Substitute, all known values in the above expression. IT=120 W12 V=10 A Here, all resistors are connected in parallel so the potential difference across each resistor will be the same equal to the supply voltage. Write the current across R2. I2=VR2=12 V4 Ω=3 A from KCL. IT=I1+I2+I310 A=I1+3 A+3 AI1=4 A { I3=3 A and I2=3 A Here, I1 is the current across R1 The resistance R1 is given below. R1=VI1=12 V4 A=3 Ω Thus, the resistance R1 is 3 Ω.

Science

Physics

Given the parallel circuit presented below IT A I, R1 R2 R3 12v The total power that the Power Source of 12V provides is 120 Watts. It is known that the current 13 = 3Amp and the Resistor R2=42. Calculate the value of the resistor R1.

Given the parallel circuit presented below IT A I, R1 R2 R3 12v The total power that the Power Source of 12V provides is 120 Watts. It is known that the current 13 = 3Amp and the Resistor R2=42. Calculate the value of the resistor R1.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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