Two identical circular loops 1 and 2 of radius R each have linear charge densities lambda and - lambdaC/m respectively - Maths - Matrices

Question

Two identical circular loops 1 and 2 of radius R each have linear
charge densities
lambda and
- lambdaC/m
respectively The loops are placed coaxially with their centres
R root 3
distance apart
Find the magnitude and direction of the net electric field at the
centre of loop 1

Sanjay Singh · Accepted Answer

Dear student
Formula of electric at the axial position isE=14π∈Q×x(x2+R2)32Electric field at the centre of positively charged ring due to ring 1 is zero as x=0Electric field at the centre of positively charged ring due to ring 1 isE=14π∈Q×3×R(3R2+R2)32E=14π∈λ×2πR×3×R8×R3E=116∈λ×3Rdirection of electric is towards the centre of ring 2
Regards

Two identical circular loops 1 and 2 of radius R each have linear charge densities lambda and - lambdaC/m respectively. The loops are placed coaxially with their centres R root 3 distance apart. Find the magnitude and direction of the net electric field at the centre of loop 1

Two identical circular loops 1 and 2 of radius R each have linear charge densities
lambda and
- lambdaC/m
respectively. The loops are placed coaxially with their centres
R root 3
distance apart.
Find the magnitude and direction of the net electric field at the centre of loop 1