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 and convert units. Internal resistance of the galvanometer, R_g = 5 \, . Full-scale deflection current of the galvanometer, I_g = 20 \, mA = 20 × 10^-3 \, A = 0.02 \, A. Desired full-scale deflection current for the ammeter, I = 10 \, A. Step 2: Determine the current that must pass through the shunt resistor. To convert a galvanometer into an ammeter, a low resistance (shunt resistor, R_sh) is connected in parallel with the galvanometer. The total current I splits between the galvanometer (I_g) and the shunt (I_sh). I = I_g + I_sh I_sh = I - I_g I_sh = 10 \, A - 0.02 \, A I_sh = 9.98 \, A Step 3: Apply the principle that the voltage across parallel components is equal. The voltage across the galvanometer (V_g) must be equal to the voltage across the shunt resistor (V_sh). V_g = V_sh Using Ohm's Law (V = IR): I_g R_g = I_sh R_sh Step 4: Solve for the shunt resistance (R_sh). R_sh = (I_g R_g)/(I_sh) R_sh = (0.02 \, A) (5 \, )9.98 \, A R_sh = (0.1)/(9.98) \, R_sh ≈ 0.01002 \, The value of the resistor (shunt) is 0.01002 . 3 done, 2 left today. You're making progress.