Question 241: Magnetism and Matter

Question

A long solenoid has $$200$$ turns per $$cm$$ and carries a current $$i.$$ The magnetic field at its center is $$6.28 	imes {10^{ - 2}}\,\,\,Weber/{m^2}.$$ Another long solenoid has $$100$$ turns per $$cm$$ and it carries a current $${i \over 3}$$. The value of the magnetic field at its center is

Accepted Answer

$${{{B_2}} \over {{B_1}}} = {{{\mu _0}{n_2}{i_2}} \over {{\mu _0}{n_1}{i_1}}}$$
$$ \Rightarrow {{{B_2}} \over {6.28 	imes {{10}^{ - 2}}}} = {{100 	imes {i \over 3}} \over {200 	imes i}}$$
$$ \Rightarrow {B_2} = {{6.28 	imes {{10}^{ - 2}}} \over 6}$$
$$ = 1.05 	imes {10^{ - 2}}\,\,Wb/{m^2}$$

Answer

$$1.05 	imes {10^{ - 2}}\,\,Weber/{m^2}$$

Answer

$$1.05 	imes {10^{ - 5}}\,\,Weber/{m^2}$$

Answer

$$1.05 	imes {10^{ - 3}}\,\,Weber/{m^2}$$

Answer

$$1.05 	imes {10^{ - 4}}\,\,Weber/{m^2}$$

Magnetism and Matter

A long solenoid has $200 turns per cm and carries a current i. The magnetic field at its center is 6.28 \times {10^{ - 2}}\,\,\,Weber/{m^2}. Another long solenoid has 100 turns per cm and it carries a current {i \over 3}$. The value of the magnetic field at its center is

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