Find out the magnetic field at point P in the following cases. a Circular loop Iving in the x - v plane b Circular loop turned by 90 ° in anticlockwise direction

According to the question the circular loop in x - y plane. Now, we can find the direction from right law thumb rule. ⇒ B 1 = Due to the straight current carrying wire (direction-outwards) = μ 0 i 2 πR 0 . ⇒ B 2 = Due to the circular coil (direction-outwards) = μ 0 i 2 R 0 . Resultant magnetic field at P , B P = B 1 + B 2 . ⇒ B P = B 1 + B 2 ⇒ B P = μ o i 2 πR + μ o i 2 R ⇒ B P = μ o 2 πR 1 + 1 π . Outwards the plane. Now for second figure, - According to the given information circular loop turned by 90 ° in anti-clock wise direction. We can apply right law thumb rule for finding out the direction. ⇒ B 1 = Due to straight current carrying wire ( Direction-outwards) = μ 0 i 2 πR 0 . ⇒ B 2 = Due to circular coil (Direction rightwards) = μ 0 i 2 R . Now, ⇒ B 1 = μ 0 i 2 πR k ^ ⇒ B 2 = μ 0 i 2 R i ^ ⇒ B P = B 1 + B 2 ⇒ B P = μ 0 i 2 πR k ^ + μ 0 i 2 R i ^ . Now, resultant B p . ⇒ B P = B 1 2 + B 2 2 ⇒ B P = 4 μ 0 i 2 πR 2 + μ 0 i 2 R 2 ⇒ B P = 4 μ 0 2 R 1 2 + 1 π 2 In the show directions.

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 3

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Current $i_{0}$ is being carried by an infinite wire passing through origin along the direction $\hat{i} + \hat{j} + \hat{k} .$ Find magnetic field due to the wire at point $(1 m, 0, 0) .$

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Important Questions on Moving Charges and Magnetism

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 4

Current

i_{0}

is being carried by an infinite wire passing through origin along the direction

\hat{i} + \hat{j} + \hat{k} .

Find magnetic field due to the wire at point

(1 m, 1 m, 1 m) .

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 5

Current

i_{0}

is moving in a hexagon shaped loop of side length

a .

Find expression for magnetic field at centre of hexagon.

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 6

A current carrying wire $A B$ with current $i_{0}$ is placed as shown in figure. Find the magnetic field at origin.

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 7

A long straight conductor is bent in form of a right angle as shown. It carries current $i .$ Magnetic field at point $(p, q)$ where $p > 0, q > 0,$ is

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 8

Find magnetic field at point $P$ in following cases.

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 9

A charge

q

is moving in a circle of radius

r

with speed

v .

Find magnetic field at centre of loop.

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 10

Find out the magnetic field at point $P$ in the following cases.

$(a)$ Question Image Circular loop Iving in the $x - v$ plane

$(b)$ Question Image Circular loop turned by $90 °$ in anticlockwise direction

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Gamma Question Bank for Engineering Physics>Chapter 18 - Moving Charges and Magnetism>EXERCISE>Q 11

A spiral of $20$ turns with inner radius $R$ and outer radius $2 R$ is placed as shown in figure. If the current is $i,$ find magnetic field at the centre of spiral.

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