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The ratio of secondary to the primary turns in a transformer is 3:2. If the power output be P, then the input power neglecting all loses must be equal to
- a)5 P
- b)1.5 P
- c)P
- d)2/5 P
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The ratio of secondary to the primary turns in a transformer is 3:2. I...
**Given Information:**
The ratio of secondary turns to primary turns in a transformer is 3:2.
**To Find:**
The input power neglecting all losses must be equal to what?
**Solution:**
**Step 1: Calculate the ratio of voltages.**
Given that the ratio of turns is 3:2, the ratio of voltages will be the inverse of the turns ratio.
Voltage ratio = 2/3
**Step 2: Calculate the power output.**
The power output of the transformer is given by the formula:
P = V_s * I_s
Where V_s is the secondary voltage and I_s is the secondary current.
**Step 3: Calculate the power input.**
The power input of the transformer can be calculated using the formula:
P_input = V_p * I_p
Where V_p is the primary voltage and I_p is the primary current.
Since power is conserved in a transformer, the input power must be equal to the output power.
Therefore, P_input = P_output
**Step 4: Substitute the values.**
Since the voltage ratio is 2/3, we can write:
V_p = (3/2) * V_s
Substitute the above equation in the power input formula:
P_input = (3/2) * V_s * I_s
Since P_output = V_s * I_s, we can rewrite the equation as:
P_input = (3/2) * P_output
Therefore, the input power neglecting all losses must be equal to P_output, which is denoted as P.
Hence, the correct answer is option 'c) P'.
The ratio of secondary turns to primary turns in a transformer is 3:2.
**To Find:**
The input power neglecting all losses must be equal to what?
**Solution:**
**Step 1: Calculate the ratio of voltages.**
Given that the ratio of turns is 3:2, the ratio of voltages will be the inverse of the turns ratio.
Voltage ratio = 2/3
**Step 2: Calculate the power output.**
The power output of the transformer is given by the formula:
P = V_s * I_s
Where V_s is the secondary voltage and I_s is the secondary current.
**Step 3: Calculate the power input.**
The power input of the transformer can be calculated using the formula:
P_input = V_p * I_p
Where V_p is the primary voltage and I_p is the primary current.
Since power is conserved in a transformer, the input power must be equal to the output power.
Therefore, P_input = P_output
**Step 4: Substitute the values.**
Since the voltage ratio is 2/3, we can write:
V_p = (3/2) * V_s
Substitute the above equation in the power input formula:
P_input = (3/2) * V_s * I_s
Since P_output = V_s * I_s, we can rewrite the equation as:
P_input = (3/2) * P_output
Therefore, the input power neglecting all losses must be equal to P_output, which is denoted as P.
Hence, the correct answer is option 'c) P'.
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