MHT CET · Physics · Magnetic Effects of Current
A current ' I ' is flowing in a conductor PQRST as shown in figure. The radius of curved path QRS is ' R ' and length of straight portion PQ and ST is very large. The magnetic field at the centre [O] of the curved part is (\(\mu_0=\) permeability of free space)
- A \(\frac{\mu_0 \mathrm{i}}{4 \pi \mathrm{r}}\left(\frac{3 \pi}{2}+1\right)(-\widehat{\mathrm{k}})\)
- B \(\frac{\mu_0 \mathrm{i}}{4 \pi \mathrm{r}}\left(\frac{3 \pi}{2}+1\right) \widehat{\mathrm{k}}\)
- C \(\frac{\mu_0 \mathrm{i}}{4 \pi \mathrm{r}}\left[\frac{3 \pi}{2}-1\right](-\widehat{\mathrm{k}})\)
- D \(\frac{\mu_0 \mathrm{i}}{4 \pi \mathrm{r}}\left[\frac{3 \pi}{2}-1\right] \hat{\mathrm{k}}\)
Answer & Solution
Correct Answer
(B) \(\frac{\mu_0 \mathrm{i}}{4 \pi \mathrm{r}}\left(\frac{3 \pi}{2}+1\right) \widehat{\mathrm{k}}\)
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