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
Step 1: Identify the given values from the problem. The electromotive force (e.m.f) of the cell is E = 1.5 V. The external resistance connected in series is R = 5 . The current flowing through the circuit is I = 0.25 A. We need to find the internal resistance, r. Step 2: Apply the formula for current in a circuit with internal resistance. The total resistance in the circuit is the sum of the external resistance and the internal resistance, R_total = R + r. According to Ohm's law for a circuit with internal resistance, the current I is given by: I = (E)/(R + r) Step 3: Substitute the given values into the formula. 0.25 A = 1.5 V5 + r Step 4: Solve the equation for r. Multiply both sides by (5 + r): 0.25 (5 + r) = 1.5 Distribute 0.25: 0.25 × 5 + 0.25r = 1.5 1.25 + 0.25r = 1.5 Subtract 1.25 from both sides: 0.25r = 1.5 - 1.25 0.25r = 0.25 Divide by 0.25: r = (0.25)/(0.25) r = 1 The internal resistance is 1 . This corresponds to option A. The final answer is A. 1 . Send me the next one 📸