Electronics and Communication Engineering (ECE) Exam  >  Electronics and Communication Engineering (ECE) Questions  >  Three uniform current sheets are located in f... Start Learning for Free
Three uniform current sheets are located in free space as follows: 8uz A/m at y = 0, -4uz A/m at y = 1 and -4uz A/m at y = -1. Let F be the vector force per meter length exerted on a current filament carrying 7 mA in the uL direction.
Que: If the current filament is located at x = 0, y = 0.5 andu uL =  uZ , then F is
  • a)
    35.2 yuy nN/m
  • b)
    -35.2  yuy nN/m
  • c)
    105.6 yuy nN/m
  • d)
    0
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Three uniform current sheets are located in free space as follows: 8uz...
Within the region 1 < y <1, the magnetic fields from the two outer sheets (carrying -4 uz A/m) cancel, leaving only the field from the center sheet. Therefore
View all questions of this test
Most Upvoted Answer
Three uniform current sheets are located in free space as follows: 8uz...
Given:
- Three uniform current sheets in free space with the following currents:
- 8 u_z A/m at y = 0
- -4 u_z A/m at y = 1
- -4 u_z A/m at y = -1
- Current filament located at x = 0, y = 0.5
- Current direction: u_uL = u_z

To find: The vector force per meter length exerted on the current filament (F)

To solve this problem, we can use the Biot-Savart law, which gives the magnetic field created by a small current element.

1. Magnetic Field Due to a Current Sheet:
The magnetic field at a point P due to a current sheet is given by:
d\vec{B} = \frac{\mu_0}{4π} \frac{I \vec{dl} \times \vec{r}}{r^3}

Where:
- \mu_0 is the permeability of free space (4π × 10^-7 Tm/A)
- I is the current in the sheet
- \vec{dl} is a small element of the sheet carrying current
- \vec{r} is the position vector from the element to point P
- r is the magnitude of \vec{r}

2. Magnetic Field Due to a Current Filament:
The magnetic field at a point P due to a current filament is given by:
d\vec{B} = \frac{\mu_0}{4π} \frac{I \vec{dl} \times \vec{r}}{r^3}

Where:
- \mu_0 is the permeability of free space (4π × 10^-7 Tm/A)
- I is the current in the filament
- \vec{dl} is a small element of the filament carrying current
- \vec{r} is the position vector from the element to point P
- r is the magnitude of \vec{r}

3. Calculation of Force per Meter Length:
To calculate the force per meter length (F), we can use the equation:
d\vec{F} = I \vec{dl} \times \vec{B}

Where:
- I is the current in the filament
- \vec{dl} is a small element of the filament carrying current
- \vec{B} is the magnetic field due to the current sheets at the location of the filament

Since the current filament is located at x = 0, y = 0.5, we need to calculate the magnetic field due to the current sheets at this point.

4. Calculation of Magnetic Field at the Filament Location:
For each current sheet, we can calculate the magnetic field at the filament location using the Biot-Savart law.

a) Magnetic field due to the first current sheet (8 u_z A/m at y = 0):
- The position vector \vec{r} from a small element of the sheet to the filament location is: \vec{r} = -0.5 u_y
- The current in the element is: I = 8 A/m
- Using the Biot-Savart law, we can calculate the magnetic field as: d\vec{B_1} = \frac{\mu_0}{4π} \frac{8 \cdot (-0
Attention Electronics and Communication Engineering (ECE) Students!
To make sure you are not studying endlessly, EduRev has designed Electronics and Communication Engineering (ECE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electronics and Communication Engineering (ECE).
Explore Courses for Electronics and Communication Engineering (ECE) exam

Top Courses for Electronics and Communication Engineering (ECE)

Three uniform current sheets are located in free space as follows: 8uzA/m at y = 0, -4uzA/m at y = 1 and -4uzA/m at y = -1. Let F be the vector force per meter length exerted on a current filament carrying 7 mA in the uLdirection.Que:If the current filament is located at x = 0, y = 0.5 andu uL= uZ, then F isa)35.2yuy nN/mb)-35.2 yuy nN/mc)105.6 yuy nN/md)0Correct answer is option 'B'. Can you explain this answer?
Question Description
Three uniform current sheets are located in free space as follows: 8uzA/m at y = 0, -4uzA/m at y = 1 and -4uzA/m at y = -1. Let F be the vector force per meter length exerted on a current filament carrying 7 mA in the uLdirection.Que:If the current filament is located at x = 0, y = 0.5 andu uL= uZ, then F isa)35.2yuy nN/mb)-35.2 yuy nN/mc)105.6 yuy nN/md)0Correct answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Three uniform current sheets are located in free space as follows: 8uzA/m at y = 0, -4uzA/m at y = 1 and -4uzA/m at y = -1. Let F be the vector force per meter length exerted on a current filament carrying 7 mA in the uLdirection.Que:If the current filament is located at x = 0, y = 0.5 andu uL= uZ, then F isa)35.2yuy nN/mb)-35.2 yuy nN/mc)105.6 yuy nN/md)0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three uniform current sheets are located in free space as follows: 8uzA/m at y = 0, -4uzA/m at y = 1 and -4uzA/m at y = -1. Let F be the vector force per meter length exerted on a current filament carrying 7 mA in the uLdirection.Que:If the current filament is located at x = 0, y = 0.5 andu uL= uZ, then F isa)35.2yuy nN/mb)-35.2 yuy nN/mc)105.6 yuy nN/md)0Correct answer is option 'B'. Can you explain this answer?.
Solutions for Three uniform current sheets are located in free space as follows: 8uzA/m at y = 0, -4uzA/m at y = 1 and -4uzA/m at y = -1. Let F be the vector force per meter length exerted on a current filament carrying 7 mA in the uLdirection.Que:If the current filament is located at x = 0, y = 0.5 andu uL= uZ, then F isa)35.2yuy nN/mb)-35.2 yuy nN/mc)105.6 yuy nN/md)0Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE). Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of Three uniform current sheets are located in free space as follows: 8uzA/m at y = 0, -4uzA/m at y = 1 and -4uzA/m at y = -1. Let F be the vector force per meter length exerted on a current filament carrying 7 mA in the uLdirection.Que:If the current filament is located at x = 0, y = 0.5 andu uL= uZ, then F isa)35.2yuy nN/mb)-35.2 yuy nN/mc)105.6 yuy nN/md)0Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Three uniform current sheets are located in free space as follows: 8uzA/m at y = 0, -4uzA/m at y = 1 and -4uzA/m at y = -1. Let F be the vector force per meter length exerted on a current filament carrying 7 mA in the uLdirection.Que:If the current filament is located at x = 0, y = 0.5 andu uL= uZ, then F isa)35.2yuy nN/mb)-35.2 yuy nN/mc)105.6 yuy nN/md)0Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Three uniform current sheets are located in free space as follows: 8uzA/m at y = 0, -4uzA/m at y = 1 and -4uzA/m at y = -1. Let F be the vector force per meter length exerted on a current filament carrying 7 mA in the uLdirection.Que:If the current filament is located at x = 0, y = 0.5 andu uL= uZ, then F isa)35.2yuy nN/mb)-35.2 yuy nN/mc)105.6 yuy nN/md)0Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Three uniform current sheets are located in free space as follows: 8uzA/m at y = 0, -4uzA/m at y = 1 and -4uzA/m at y = -1. Let F be the vector force per meter length exerted on a current filament carrying 7 mA in the uLdirection.Que:If the current filament is located at x = 0, y = 0.5 andu uL= uZ, then F isa)35.2yuy nN/mb)-35.2 yuy nN/mc)105.6 yuy nN/md)0Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Three uniform current sheets are located in free space as follows: 8uzA/m at y = 0, -4uzA/m at y = 1 and -4uzA/m at y = -1. Let F be the vector force per meter length exerted on a current filament carrying 7 mA in the uLdirection.Que:If the current filament is located at x = 0, y = 0.5 andu uL= uZ, then F isa)35.2yuy nN/mb)-35.2 yuy nN/mc)105.6 yuy nN/md)0Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
Explore Courses for Electronics and Communication Engineering (ECE) exam

Top Courses for Electronics and Communication Engineering (ECE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev