Moving Charges & Magnetism Worksheets

 

Worksheet-4.01

(Biot-Savart Law)

 

General Instructions This worksheet belongs to the Chapter- Moving Charges & Magnetism This worksheet is based on the concept of- Biot-Savart Law The worksheet includes subjective questions from NCERT & different exams like- CBSE, NEET, PSEB, HSEB etc. The answer key is provided at the end to check your answers.

 

Type-01: Theory & Conceptual Questions

 

Ques-01:

 

State Biot-Savart law and express this law in vector form.

(CBSE OD 2017)

 

Type-02: Numerical Problems

 

Ques-02:

 

A wire carries a steady current of 50 A as shown. Find the magnetic field caused by a 1 cm segment of this wire at a point P which is 1 m away from it.

 

 

Ques-03:

 

A small current element Idℓ with dℓ = 2 k̂ mm and I = 2 A is centered at the origin. Find magnetic field dB at the following points-

(i) on the x-axis at x = 3 m

(ii) on the x-axis at x = -6 m

(iii) on the z-axis at z = 3 m

 

Ques-04:

 

An element Δℓ = Δx î is placed at the origin and carries a large current I = 10 A. What is the magnetic field on the y-axis at a distance of 0.5 m? Δx = 1 cm.

(NCERT ; CBSE OD 2019)

 

Ques-05:

 

An element Δℓ = Δx î is placed at the origin and carries a current I = 2 A. Find out the magnetic field at a point P on the y-axis at a distance of 1 m due to the element Δx = 1 cm. Also, give the direction of the field produced.

(CBSE D 2009 C)

 

Ques-06:

 

A wire carries a steady current of 50 A as shown. Find the magnetic field caused by a 1 cm segment of this wire at a point P which is 1 m away from it.

 

 

Ques-07:

 

A wire placed along the north-south direction carries a current of 8 A from south to north. Find the magnetic field due to a 1 cm piece of wire at a point 200 cm north-east from the piece.

 

Ques-08:

 

A wire placed along the east-west direction carries a current of 10 A from west to east direction. Determine the magnetic field due to a 1.8 cm piece of wire at a point 300 cm north-east from the piece.

 

ANSWER KEY

 

1. Refer Notes

2. 50 x 10^-9 T (-k̂)

3. (i) 4.44 x 10^-11 T (ĵ)    (ii) 1.11 x 10^-11 T (-ĵ)    (iii) 0

4. 4 x 10^-8 T (k̂)

5. 2 x 10^-9 T (k̂)

6. 30 x 10^-9 T (k̂)

7. 1.4 x 10^-9 T (-k̂)

8. 1.4 x 10^-9 T (k̂)

 

MCQs Quiz-

Quiz on Biot-Savart Law

 

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