An element \(\Delta l=\Delta x \hat{i}\) is placed at the origin and carries a large current of \(I=10~\text A\) (as shown in the figure). What is the magnetic field on the \(y\text-\)axis at a distance of \(0.5~\text m?\)
\((\text{Given}~\Delta x=1~\text{cm})\)
1. | \(6\times 10^{-8}~\text{T}\) | 2. | \(4\times 10^{-8}~\text{T}\) |
3. | \(5\times 10^{-8}~\text{T}\) | 4. | \(5.4\times 10^{-8}~\text{T}\) |
1. | \(0\) | 2. | \(1.2\times 10^{-4}~\text{T}\) |
3. | \(2.1\times 10^{-4}~\text{T}\) | 4. | None of these |
A straight wire carrying a current of \(12~\text A\) is bent into a semi-circular arc of radius \(2.0 ~\text{cm}\) as shown in the figure. Consider the magnetic field \(B\) at the centre of the arc. What is the magnetic field at centre due to the semi-circular loop?
1. Zero
2. \( 3 . 8 \times10^{- 4} ~\text T\)
3. \(1.9\times10^{- 4} ~\text T\)
4. \(2.9 \times10^{- 4} ~\text T\)