COMEDK · Physics · 21. Magnetic Effects of Current
A long solenoid X having 400 turns per cm carries a current I . The magnetic field produced at its centre by this solenoid is \(3.14 \times 10^{-2} T\). The magnetic field produced by another solenoid \(Y\) at its centre having 300 turns per cm carries a current \(\dfrac{\mathrm{I}}{3}\). The magnetic field produced by Y at its centre is:
- A \(12.56 \times 10^{-2} T\)
- B \(0.785 \times 10^{-2} T\)
- C \(1.256 \times 10^{-2} T\)
- D \(2.785 \times 10^{-2} T\)
Answer & Solution
Correct Answer
(B) \(0.785 \times 10^{-2} T\)
Step-by-step Solution
Detailed explanation
The magnetic field \(B\) at the centre of a long solenoid is given by the formula \(B = \mu_{0} n I\), where \(n\) is the number of turns per unit length and \(I\) is the current. For solenoid X, we have \(n_{X} = 400 \text{ turns/cm} = 40000 \text{ turns/m}\) and…
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