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A pair of stationary and infinitely long...

A pair of stationary and infinitely long bent wires is placed in the `X-Y` plane as shown in figure.The wires carry currents of `10A` each as shown.The segments `L` and `M` are along the `x`-axis.The segments `P` and `Q` are pallel to the `Y`-axis such that `OS=OR=0.02 m`.Find the magnitude and direction of the magnetic induction at the origin `O`.

A

`10^(-3)T`

B

`4xx10^(-3) T`

C

`2xx10^(-6)T`

D

`10^(-4)T`

Text Solution

Verified by Experts

The correct Answer is:
D
Total magnetic field induction at O is
`B=B_(LR)+B_(RP)+B_(NS)+B_(SQ)`
`=0+(mu_(0))/(4pi)(i)//(r )+0+(mu_(0))/(4pi)(i)/(r )`
`=(mu_(0))/(2pi)(i)/(0.02)`
`=(2xx10^(-7)xx10)/(0.02)=10^(-4)T`
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A pair of stationary and infintely long bent wires are placed in the XY planes as shown in fig. The wires carry currents of I = 10 amperes each as shown . The segments P and Q are parallel to the Y-axis such that OS = OR = 0.02 m . Find the magnitude and direction of the magnetic induction at the origin O .

(i) A pair of stationary and infinitely long bent wires are aplced in the XY- plane as shown.The wires carry currents 10 A each. The segment P and Q are parallel to the Y-axis such as OS =OR = 0.02 m. Find the magnitude field at the origin O (ii) three long wires carrying 10 A 20 A and 30 A are placed parallel to each other as shown field at P and Q

Knowledge Check

  • A wire loop carrying current I is placed in the x-y plane as shown. Magnetic induction at P is

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    `(mu_(0) I)/(2a) ((sqrt(3))/(pi) - (1)/(3))`
    B
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  • A inifinite length current carrying wire is placed in x,y plane parallel to y axis as shown in figure. (All charges projected in region l)

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  • A long current wire is bent in the shapes shown in figure. The circular portion has radius R . The magnetic induction at the center of the circular segment is

    A
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