Question

A transformer working on a 240 V AC supplies a voltage of 8 V to an electric bell in the circuit. The number of turns in the primary coil is 4800. Calculate the number of turns in the secondary coil​

Answer 1

$\sf\large\underline\purple{Given:-}$

• A transformer is working on a 240 V AC supplies a voltage of 8 V to an electric bell in the circuit.
• The number of turns in first coil=4800

$\sf\large\underline\purple{To\: Find:-}$

• The number of turns in second coil=?

$\sf\large\underline\purple{Solution:-}$

• To calculate the number of turns in second coil at first we have to indicate a transformer working voltage as V¹ and AC working voltage as V² and Number of turns in the coil be N. After that simply by applying formula to calculate the number of turns in the second coil. Simplify it by proportionally.

$\sf\large\underline\purple{Formula\:Used:-}$

$\tt{\implies \dfrac{V_{2}}{V_{1}}=\dfrac{N_{2}}{N_{1}}}$

$\tt\red{\implies N_{1}=4800,\:V_{1}=240,\:V_{2}=8}$

$\tt{\implies \dfrac{8}{240}=\dfrac{N_{2}}{4800}}$

$\tt{\implies N_{2}=\dfrac{4800*8}{240}}$

$\tt{\implies N_{2}=20*8}$

$\tt{\implies N_{2}=160}$

$\sf\large{Hence,}$

$\tt{\implies Number\:_{(in\:second\:coil}=160}$

Answer 2

$\mathtt{\huge{\underline{\red{Given:-}}}}$

• A transformer working on a 240 V AC supplies a voltage of 8 V to an electric bell in the circuit.

• The number of turns in the primary coil is 4800.

$\mathtt{\huge{\underline{\green{To\:Find:-}}}}$

• The number of turns in the secondary coil.

$\mathtt{\huge{\underline{\purple{Solution:-}}}}$

Let us consider N2 ( The number of turns in the secondary coil) be x

We have,

V1 = 240 V

V2 = 8 V

N1 (The number of turns in the primary coil) = 4800.

Using The Relation ,

$\dfrac{V2}{V1}$ = $\dfrac{N2}{N1}$

Putting given value in the relation,

★ $\dfrac{V2}{V1}$ = $\dfrac{N2}{N1}$

➝ $\dfrac{8}{240}$ = $\dfrac{N2}{4800}$

➝ N2 = $\dfrac{8}{240}$ × 4800

➝ N2 = $\dfrac{4800 × 8}{240}$

➝ N2 = $\cancel{\dfrac{38400}{240}}$

➝ N2 = 160

✒ The number of turns in the secondary coil is 160.

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