Question

Circuits Problem Statement A 4.00-2 resistor, an 8.00-22 resistor, and a 24.0-2 resistor are connected together. (a) What is the maximum resistance that can be produced using all three resistors? (b) What is the minimum resistance that can be produced using all three resistors? (c) How would you connect these three resistors to obtain a resistance of 10.09? (d) How would you connect these three resistors to obtain a resistance of 8.00 ? Visual Representation • Draw a circuit diagram . Label all the circuit components • List knowns and unknowns Mathematical Representation • Write Kirchhoff's laws for each loop and junction in the circuit • Use the fact that current is the same through all resistors in series and the potential difference is the same for all parallel resistors. • Solve equation(s) for the desired unknown • Substitute in the known values, including units, and calculate unknown value • Check units and assess if your answer is reasonable

Answer 1

In series total resistance total resiytance R = R + R₂ + R3 L' which i maximum In parallel the net resiptance 2 2 2 + e + 3 I, which we get minimum @ Maximum resiftance 4 + 8+24 = 36 1 + $ + 3x = 6+3+1.10 24 max 6 Minimum resistance & min 24 R min 94 10 2.4 m @ By connecting 80,240 are in parallel which their Connected in series with 4n R 8xgy 8+24 192 32 on women 4. 24 4u abu are in serie) - 446=lor 4,8 u are in serie) El then connected with 24m in parallel I wun 8n tur 448=12r 12, 2y are in parallel 12x24 36 -si 24 12 x 24 12+24