Questions: Question 25 1 pts Compared with the current in the primary coil of a transformer, the current in the secondary coil is less. can be greater or less. is greater. none of the above

Question 25
1 pts

Compared with the current in the primary coil of a transformer, the current in the secondary coil
is less.
can be greater or less.
is greater.
none of the above
Transcript text: Question 25 1 pts Compared with the current in the primary coil of a transformer, the current in the secondary coil is less. can be greater or less. is greater. none of the above
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Solution

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Solution Steps

Step 1: Understanding Transformer Basics

A transformer is an electrical device that transfers electrical energy between two or more circuits through electromagnetic induction. It consists of primary and secondary coils (or windings).

Step 2: Analyzing Current Relationship

The relationship between the current in the primary coil (\(I_p\)) and the secondary coil (\(I_s\)) of a transformer is determined by the turns ratio and the principle of conservation of energy. The power in the primary coil (\(P_p\)) is approximately equal to the power in the secondary coil (\(P_s\)), assuming an ideal transformer with no losses:

\[ P_p = P_s \implies V_p \cdot I_p = V_s \cdot I_s \]

where \(V_p\) and \(V_s\) are the voltages in the primary and secondary coils, respectively.

Step 3: Applying the Turns Ratio

The turns ratio (\(n\)) of a transformer is given by:

\[ n = \frac{N_s}{N_p} = \frac{V_s}{V_p} \]

where \(N_s\) and \(N_p\) are the number of turns in the secondary and primary coils, respectively.

Step 4: Determining the Current Relationship

Using the power equation and the turns ratio, we can express the current relationship as:

\[ I_s = \frac{V_p}{V_s} \cdot I_p = \frac{N_p}{N_s} \cdot I_p \]

This equation shows that the current in the secondary coil can be greater or less than the current in the primary coil, depending on the turns ratio.

Final Answer

The current in the secondary coil can be greater or less than the current in the primary coil. Therefore, the correct answer is:

\(\boxed{\text{can be greater or less.}}\)

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