Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

A galvanometer of 60Ω resistance shows full scale deflection for a current of 8 mA. The shunt required to convert the galvanometer into an ammeter of range 0 to 6 A will be:

Options:

$4.67 × 10^{-2}Ω$

$5.67 × 10^{-2}Ω$

$2.67×10^{-2}Ω$

$8 × 10^{-2}Ω$

Correct Answer:

$8 × 10^{-2}Ω$

Explanation:

The correct answer is Option (4) → $8 × 10^{-2}Ω$

$R_g$, Resistance of galvanometer = 60 Ω

$I_g$, full scale deflection current = 8 mA

$I_{max}$, Desire Ammeter range = 6A

∴ Current in Shunt Resistance, $I_{shunt}=6A-0.008A=5.992A$

∴ Voltage across the galvanometer, $V_g=I_g×R_g$ [By ohm's law]

$=0.008×60$

$=0.48V$

$V_{shunt}=V_g=0.48V$

$R_{shunt}=\frac{V_{shunt}}{I_{shunt}}=\frac{0.48}{5.992}=0.08Ω$