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Q. No.A solenoid has a core made of material with relative permeability \(400\). The magnetic field produced in the interior of solenoid is \(1.0~\text{T}.\) The magnetic intensity is SI units is \(\alpha \times 10^{5}.\) The value of \(\alpha\) is:
(Free space permeability \(\mu_0=4\pi\times10^{-7}\) SI units.)
1. \(\dfrac{25}\pi\)
2. \(\dfrac{1}{16\pi}\)
3. \(\dfrac{1}\pi\)
4. \(\dfrac{1}{4\pi}\)
(Free space permeability \(\mu_0=4\pi\times10^{-7}\) SI units.)
1. \(\dfrac{25}\pi\)
2. \(\dfrac{1}{16\pi}\)
3. \(\dfrac{1}\pi\)
4. \(\dfrac{1}{4\pi}\)
Subtopic: Magnetization & Magnetic Intensity |
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Level 1: 80%+
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The percentage increase in magnetic field \((B)\) when space within a current carrying solenoid is filled with magnesium \((\)magnetic susceptibility \(\mathrm{X}_{\mathrm{Mg}}=1.2 \times 10^{-5} ) \) is:
1. \(\dfrac{5}{3} \times 10^{-5} \% \)
2. \(\dfrac{5}{6} \times 10^{-4} \% \)
3. \(\dfrac{6}{5} \times 10^{-3} \% \)
4. \(\dfrac{5}{6} \times 10^{-5} \% \)
1. \(\dfrac{5}{3} \times 10^{-5} \% \)
2. \(\dfrac{5}{6} \times 10^{-4} \% \)
3. \(\dfrac{6}{5} \times 10^{-3} \% \)
4. \(\dfrac{5}{6} \times 10^{-5} \% \)
Subtopic: Magnetization & Magnetic Intensity |
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Level 2: 60%+
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The relationship between the magnetic susceptibility \((\chi) \) and the magnetic permeability \((\mu) \) is given by: \((\mu_0 \) is the permeability of free space and \(\mu_r \) is relative permeability)
1. \(\chi =1-\dfrac{\mu}{\mu_0} \)
2. \(\chi =\mu_r+1 \)
3. \(\chi =\dfrac{\mu_r}{\mu_0}+1 \)
4. \(\chi =\dfrac{\mu}{\mu_0}-1 \)
1. \(\chi =1-\dfrac{\mu}{\mu_0} \)
2. \(\chi =\mu_r+1 \)
3. \(\chi =\dfrac{\mu_r}{\mu_0}+1 \)
4. \(\chi =\dfrac{\mu}{\mu_0}-1 \)
Subtopic: Magnetization & Magnetic Intensity |
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If \(B\) is he magnetic field and \(\mu_0\) is the permeability of free space, then the dimensions of \(\dfrac{B}{\mu_0}\) is:
1. \(\mathrm{ML} ^2 \mathrm{~T}^{-2} \mathrm{~A^{-1} } \)
2. \(\mathrm{L}^{-1} \mathrm{~A} \)
3. \(MT^{-2}A^{-1} \)
4. \(LT^{-2} A^{-1} \)
1. \(\mathrm{ML} ^2 \mathrm{~T}^{-2} \mathrm{~A^{-1} } \)
2. \(\mathrm{L}^{-1} \mathrm{~A} \)
3. \(MT^{-2}A^{-1} \)
4. \(LT^{-2} A^{-1} \)
Subtopic: Magnetization & Magnetic Intensity |
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Level 1: 80%+
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What is the percentage increase in the magnetic field \(B\) when the space inside a current-carrying toroid is filled with aluminum, given that the magnetic susceptibility \(\chi_m\) of aluminum is \((2.2 ×10^{-5})?\)
1. \(15\times 10^{-5}\%\)
2. \(34\times 10^{-5}\%\)
3. \(22\times 10^{-4}\%\)
4. \(3\times 10^{-4}\%\)
1. \(15\times 10^{-5}\%\)
2. \(34\times 10^{-5}\%\)
3. \(22\times 10^{-4}\%\)
4. \(3\times 10^{-4}\%\)
Subtopic: Magnetization & Magnetic Intensity |
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A rod is made of a material whose magnetic susceptibility is \(499.\) If the permeability of free space is \(4 \pi \times 10^{-7}~ \text{H} /\text{m} \text {, }\)the absolute permeability of the material of the rod is:
| 1. | \(3 \pi \times 10^{-4}~ \text{H} /\text{m}\) | 2. | \(\pi \times 10^{-4}~ \text{H} /\text{m}\) |
| 3. | \(2 \pi \times 10^{-4} ~ \text{H} /\text{m}\) | 4. | \(4 \pi \times 10^{-4}~ \text{H} /\text{m}\) |
Subtopic: Magnetization & Magnetic Intensity |
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Level 1: 80%+
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The following plots show Magnetization \((M)\) versus Magnetizing field \((H)\) and Magnetic susceptibility \((\chi)\) versus temperature \((T)\) graph:
Which of the following combinations will be represented by a diamagnetic material?
Which of the following combinations will be represented by a diamagnetic material?
| 1. | (b), (c) | 2. | (b), (d) |
| 3. | (a), (c) | 4. | (a), (d) |
Subtopic: Magnetization & Magnetic Intensity |
80%
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A paramagnetic material has \(10^{28}~ \text{atoms/m}^3.\) Its magnetic susceptibility at temperature \(350~\text K ~\text{is} ~2.8\times 10^{–4}.\) Its susceptibility at \(300 ~\text{K}\) is:
1. \(3.267\times 10^{-4}\)
2. \(3.672\times 10^{-4}\)
3. \(3.726\times 10^{-4}\)
4. \(2.672\times 10^{-4}\)
1. \(3.267\times 10^{-4}\)
2. \(3.672\times 10^{-4}\)
3. \(3.726\times 10^{-4}\)
4. \(2.672\times 10^{-4}\)
Subtopic: Magnetization & Magnetic Intensity |
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A solenoid of length \(25~\text{cm}\) and radius \(2~\text{cm}\) has \(500\) turns and carries a current of \(15~\text{A}.\) If it is equivalent to a magnet of the same size and magnetisation \(\vec M\) (magnetic moment per unit volume), then \( |\vec M|\) is:
1. \(3\pi~\text{Am}^{-1}\)
2. \(30000\pi~\text{Am}^{-1}\)
3. \(300~\text{Am}^{-1}\)
4. \(30000~\text{Am}^{-1} \)
1. \(3\pi~\text{Am}^{-1}\)
2. \(30000\pi~\text{Am}^{-1}\)
3. \(300~\text{Am}^{-1}\)
4. \(30000~\text{Am}^{-1} \)
Subtopic: Magnetization & Magnetic Intensity |
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Level 3: 35%-60%
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The coercivity of a small magnet where the ferromagnet gets demagnetized is \(3\times 10^3~\text{Am}^{-1}.\) The current required to be passed in a solenoid of length \(10~\text{cm}\) and number of turns \(100,\) so that the magnet gets demagnetized when inside the solenoid, is:
1. \(60~\text{mA}\)
2. \(3~\text{A}\)
3. \(6~\text{A}\)
4. \(30~\text{mA}\)
Subtopic: Magnetization & Magnetic Intensity |
77%
Level 2: 60%+
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