Name: Tangent Galvanometer: Theory and Construction
Uploaded: 2019-07-19
Duration: 4 min 47 s
Description: When you heard of a tangent galvanometer, what strikes your mind? Don't you think this is related to tangent? Watch this video to know the science behind it.

Question

A magnetising field of

1600 A m^{- 1}

produces a magnetic flux of

2.4 \times 10^{- 5} wb

in an iron bar of cross-sectional area

0.2 {cm}^{2}

. Calculate permeability and susceptibility of the bar.

Accepted Answer

It is given that a magnetising field of $H = 1600 A m^{- 1}$ produces a magnetic flux of $ϕ = 2.4 \times 10^{- 5} Wb$ in an iron bar of cross-sectional area $A = 0.2 {cm}^{2} = 0.2 \times 10^{- 4} m^{2}$ .

Now, we know that magnetic flux is defined as the number of magnetic field lines passing through a given area and it can be calculated by,

$ϕ = B \cdot A$

$\Rightarrow B = \frac{ϕ}{A}$

$\Rightarrow B = \frac{2.4 \times 10^{- 5}}{0.2 \times 10^{- 4}}$

$\Rightarrow B = 1.2 T$ .

Now, we also know that magnetic permeability is defined as the ratio of induced magnetic field and magnetising field. That is,

$μ = \frac{B}{H}$

$\Rightarrow μ = \frac{1.2}{1600}$

$\Rightarrow μ = 7.5 \times 10^{- 4} A^{- 1} mT$ .

Now, from this, we can also calculate relative permeability be,

$μ_{r} = \frac{μ}{μ_{o}}$

$\Rightarrow μ_{r} = \frac{7.5 \times 10^{- 4}}{4 π \times 10^{- 7}}$

$\Rightarrow μ_{r} = 597$ .

Now, magnetic susceptibility is defined as the tendency of any material to be magnetized when placed under an applied magnetic field. It can be calculated by using the expression,

$μ_{r} = χ_{m} + 1$

$\Rightarrow χ_{m} = μ_{r} - 1$

$\Rightarrow χ_{m} = 597 - 1$

$\Rightarrow χ_{m} = 596$ .

A magnetising field of $1600 A m^{- 1}$ produces a magnetic flux of $2.4 \times 10^{- 5} wb$ in an iron bar of cross-sectional area $0.2 {cm}^{2}$ . Calculate permeability and susceptibility of the bar.

Important Questions on Matter and Magnetism

Learn and Prepare for any exam you want !

A magnetising field of 1600 A m–1 produces a magnetic flux of 2.4×10–5 wb in an iron bar of cross-sectional area 0.2 cm2. Calculate permeability and susceptibility of the bar.

Important Questions on Matter and Magnetism

Learn and Prepare for any exam you want !

A magnetising field of $1600 A m^{- 1}$ produces a magnetic flux of $2.4 \times 10^{- 5} wb$ in an iron bar of cross-sectional area $0.2 {cm}^{2}$ . Calculate permeability and susceptibility of the bar.