The primary of a transformer when connected to a dc battery of 10 volt draws a current of 1 mA. The number of turns of the primary and secondary windings are 50 and 100 respectively.The voltage in the secondary and the current drawn by the circuit in the secondary are respectively

Options

A. 20 V and 0.5 mA
B. 20V and 2.0 mA
C. 10V and 0.5 mA
D. Zero and therefore no current

Explanation

To solve the problem step by step, we need to analyze the situation involving the transformer connected to a DC source.

### Step 1: Understand the transformer operation
A transformer operates on the principle of mutual induction, which requires a changing magnetic field. This changing magnetic field is produced by alternating current (AC). When a direct current (DC) is applied, the magnetic field does not change after the initial current flow, leading to no induced voltage in the secondary coil.

**Hint:** Remember that transformers rely on alternating current to function properly.

### Step 2: Analyze the given information
- The primary voltage (V_p) is 10 volts (DC).
- The primary current (I_p) is 1 mA (0.001 A).
- The number of turns in the primary winding (N_p) is 50.
- The number of turns in the secondary winding (N_s) is 100.

**Hint:** Identify the key parameters given in the problem: voltage, current, and number of turns.

### Step 3: Apply the transformer equation
The transformer equation relates the primary and secondary voltages and currents to the number of turns in the windings:
\[ \frac{V_s}{V_p} = \frac{N_s}{N_p} \]
\[ \frac{I_s}{I_p} = \frac{N_p}{N_s} \]
However, since we are using a DC source, we cannot apply these equations directly because the transformer will not operate as intended.

**Hint:** Recall that the transformer equations are valid only for AC sources.

### Step 4: Determine the secondary voltage (V_s)
Since the primary is connected to a DC source, there is no changing magnetic field, and thus no voltage is induced in the secondary coil. Therefore:
\[ V_s = 0 \text{ volts} \]

**Hint:** Consider the implications of using a DC source on the transformer’s operation.

### Step 5: Determine the secondary current (I_s)
Since there is no voltage induced in the secondary coil, there will be no current flowing through it. Therefore:
\[ I_s = 0 \text{ A} \]

**Hint:** If there is no voltage, there can be no current in the circuit.

### Conclusion
The voltage in the secondary (V_s) is 0 volts, and the current drawn by the circuit in the secondary (I_s) is 0 A.

**Final Answer:**
- Voltage in the secondary (V_s) = 0 V
- Current in the secondary (I_s) = 0 A