This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Here's the solution for Question 1b: Determine the p.d. across resistor R3 Step 1: Apply Kirchhoff's Voltage Law for a series circuit. In a series circuit, the total voltage supplied by the battery is the sum of the voltage drops across each resistor. V = V_1 + V_2 + V_3 Substitute the given values from Figure 1b: 25\,V = 10\,V + 4\,V + V_3 25\,V = 14\,V + V_3 V_3 = 25\,V - 14\,V V_3 = 11 V Determine the current flowing through resistor R1 Step 2: Apply Ohm's Law to the entire circuit. The total current I flowing through a series circuit is determined by the total voltage V and the total resistance R_total. In a series circuit, the current is the same through all resistors, including R_1. I = (V)/(R_total) Substitute the total voltage V = 25\,V and the given total resistance R_total = 100\,: I = (25\,V)/(100\,) I = 0.25 A Find also the value of resistor R2 Step 3: Apply Ohm's Law to resistor R2. The resistance of R_2 can be found using the voltage drop across it (V_2) and the current flowing through it (I). R_2 = (V_2)/(I) Substitute the given V_2 = 4\,V from Figure 1b and the calculated current I = 0.25\,A: R_2 = (4\,V)/(0.25\,A) R_2 = 16 What's next?