The magnetic moment of the assumed dipole at the earth’s center is $$8$$×$$1022$$ $$Am2$$. The magnetic field B at the geomagnetic poles of the earth is P×$$1015R3$$.(where$$ R is Radius of $$earth). Then the value of ‘P’ $$is___$$

Question

The magnetic moment of the assumed dipole at the earth’s center is  $$8$$×$$1022$$ $$Am2$$. The magnetic field B at the geomagnetic poles of the earth is  P×$$1015R3$$.(where$$ R is Radius of $$earth). Then the value of ‘P’ $$is___$$

Infinity Learn · Accepted Answer

The geometric pole is at the end on position of the earth $B = \frac{μ_{0}}{4 π} . \frac{2 M}{d^{3}}$
$d = R; M = 8 \times 10^{22} A m^{2}; B = \frac{P \times 10^{15}}{R^{3}}$
$∴ B = \frac{10^{- 7} \times 2 \times 8 \times 10^{22}}{R^{3}}$
$\Rightarrow \frac{P \times 10^{15}}{R^{3}} = \frac{16 \times 10^{15}}{R^{3}} \Rightarrow P = 16.$

Magnetism

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The magnetic moment of the assumed dipole at the earth’s center is $8 \times 10^{22} A m^{2}$ . The magnetic field B at the geomagnetic poles of the earth is $\frac{P \times 10^{15}}{R^{3}}$ .(where R is Radius of earth). Then the value of ‘P’ is___

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Magnetism

Remember concepts with our Masterclasses.

The magnetic moment of the assumed dipole at the earth’s center is 8×1022 Am2. The magnetic field B at the geomagnetic poles of the earth is P×1015R3.(where R is Radius of earth). Then the value of ‘P’ is___

The geometric pole is at the end on position of the earth B=μ04π.2Md3 d=R ; M=8×1022 Am2 ; B=P×1015R3 ∴B=10−7×2×8×1022R3 ⇒P×1015R3=16×1015R3 ⇒P=16.

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The magnetic moment of the assumed dipole at the earth’s center is $8 \times 10^{22} A m^{2}$ . The magnetic field B at the geomagnetic poles of the earth is $\frac{P \times 10^{15}}{R^{3}}$ .(where R is Radius of earth). Then the value of ‘P’ is___