AP EAMCET · PHYSICS · Magnetic Effects of Current
If the magnetic field inside a solenoid is B, then the magnetic energy stored in it per unit volume is
(c - speed of light in vacuum and \(\varepsilon_0\) is permittivity of free space)
- A \(\varepsilon_0 \mathrm{c}^2 \mathrm{~B}^2\)
- B \(\frac{\varepsilon_0 \mathrm{c}^2 \mathrm{~B}^2}{2}\)
- C \(2 \varepsilon_0 \mathrm{c}^2 \mathrm{~B}^2\)
- D \(\frac{\varepsilon_0 \mathrm{c}^2 \mathrm{~B}^2}{4}\)
Answer & Solution
Correct Answer
(B) \(\frac{\varepsilon_0 \mathrm{c}^2 \mathrm{~B}^2}{2}\)
Step-by-step Solution
Detailed explanation
\(u_B = \frac{B^2}{2\mu_0}\) \(\mu_0 = \frac{1}{\varepsilon_0 c^2}\) \(u_B = \frac{B^2}{2(1/(\varepsilon_0 c^2))} = \frac{\varepsilon_0 c^2 B^2}{2}\)
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