**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)...

See similar textbooks

Similar questions

Draw the circuit and solve. Two resistances of 10 Ω and 15 Ω, respectively are connected in parallel. The two are then connected in series with a 5 Ω resistance. If the entire combination is connected across a 12 V. battery, find the total current.
Find the total current flowing across R4 in the circuit below if R1 = 120 Ω, R2 = 40 Ω, R3 = 50 Ω, and R4 = 85 Ω and ε = 7.0 V. Give your answer in milliamps (mA).
A) find the equivalent resistance of the circuit and B) the current through the battery simplify the cicruit. show all steps
102 C 3. For the circuit at right, find: 102 Paralel (a) The current at pts. A, B, C, D, & E. The power dissipated by each resistor. (c) The power supplied by the battery. (d) The potential differences VB- VA, Vc- VB, VD-Vc, VE-VA. 100 V E
When switch S in (Figure 1) is open, the voltmeter V of the battery reads 3.13 V. When the switch is closed, the voltmeter reading drops to 2.93 V, and the ammeter A reads 1.69 A. Assume that the two meters are ideal, so they don't affect the circuit. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of A source with a short circuit. Figure S V r E -ww+ R A 1 of 1 Find the emf. Express your answer in volts. E = Submit Part B r = Find the internal resistance r of the battery. Express your answer in ohms. Submit Part C Π| ΑΣΦ Request Answer R= | ΑΣΦ Request Answer Find the resis ance R. Express your answer in ohms. IVE| ΑΣΦ ? ? ? V Ω Ω
For a parallel circuit, the power storage voltage is 6 V. The nominal resistance for R1 and R2 is 150 ohms and 220 ohms, respectively. If 1/Rt = R2 +R2/R1*R2, then Rt R1*R2/R2+R1 =1 From the attached, so as to understand conceptually, can you explain and describe from the nominal resistance for R1 and R2 given, the general nature of a parallel circuit in terms of the columns given specified in the variables and the relationship, such a V to V1 and V2; I to I1 and I2, then I1 +I2?
In the circuit shown in figure 1, all the resistors are rated a maximum power of 1.00 W. What is the maximum emf epsilon that the battery can have without burning up any of the resistors?
F RegRR Rg magnetic B = Il Rea=R, + R2 + Rg.. AV What is the average resistance of each one of the 4 resistors that are connected in series ina circuit that has an ecguivalent resistance of 68 Ohms? Your answer
How to solve for the following:
mam/sir how do u draw an electrical circuit, with a voltometer and a anmeter.
The compressor on an air conditioner draws89.1 A when it starts up. The start-up time isabout 0.243 s.How much charge passes a cross-sectionalarea of the circuit in this time?Answer in units of C.
In the circuit shown C= 6µF and R= 11 2. Determine the current (in Amps) through the battery a long time after closing the switch. 502 R 50Q 200 V a. prt sc ww wwHH