Question

A galvanometer of resistance 50 ohm produces a full scale deflection by a current 0.25A.Calculate the shunt resistance if it's range is 2.5 A

Answer 1

$\huge\underline\blue{\sf Answer:}$

$\large\red{\boxed{\sf S=5.55Ohm }}$

$\huge\underline\blue{\sf Solution:}$

$\large\underline\pink{\sf Given: }$

• Galvanometer resistance (G) = 50ohm

• Current in galvanometer ($\sf{i_g}$)=0.25A

• Total Current (i) = 2.5A

$\large\underline\pink{\sf To\:Find: }$

• Shut resistance (S) = ?

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$\large{\boxed{\sf S=\frac{i_gG}{i-i_g}}}$

$\large\implies{\sf S=\frac{0.25×50}{2.5-0.25} }$

$\large\implies{\sf S=\frac{12.5}{2.25}}$

$\huge\red{♡}$$\large\red{\boxed{\sf S=5.55Ohm }}$