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In a transformer number of turns in prim...

In a transformer number of turns in primary circuit is 500 and in secondary circuit number of turns is 10 and load resistance to 10 `Omega` and voltage of secondary coil is 50 V then find the current in primary circuit .

A

0.2A

B

0.3A

C

0.4A

D

0.1A

Text Solution

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The correct Answer is:
To solve the problem step by step, we will use the properties of transformers and Ohm's law. ### Step 1: Identify the given values - Number of turns in the primary coil (Np) = 500 - Number of turns in the secondary coil (Ns) = 10 - Load resistance (R) = 10 Ω - Voltage in the secondary coil (Vs) = 50 V ### Step 2: Calculate the current in the secondary coil (Is) Using Ohm's Law, we can find the current in the secondary coil: \[ I_s = \frac{V_s}{R} \] Substituting the known values: \[ I_s = \frac{50 \, \text{V}}{10 \, \Omega} = 5 \, \text{A} \] ### Step 3: Use the transformer equations to find the current in the primary circuit (Ip) The transformer equations relate the primary and secondary circuits as follows: \[ \frac{V_s}{V_p} = \frac{N_s}{N_p} = \frac{I_p}{I_s} \] From this, we can express the current in the primary circuit: \[ I_p = \frac{N_s}{N_p} \times I_s \] Substituting the known values: \[ I_p = \frac{10}{500} \times 5 \] Calculating: \[ I_p = 0.02 \times 5 = 0.1 \, \text{A} \] ### Final Answer The current in the primary circuit (Ip) is **0.1 A**. ---

To solve the problem step by step, we will use the properties of transformers and Ohm's law. ### Step 1: Identify the given values - Number of turns in the primary coil (Np) = 500 - Number of turns in the secondary coil (Ns) = 10 - Load resistance (R) = 10 Ω - Voltage in the secondary coil (Vs) = 50 V ...
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