+2 votes
in Class 12 by kratos

Figure (35-E2) shows two parallel wires separated by a distance of 4.0cm and carrying equal currents of 10A along opposite directions. Find the magnitude of the magnetic field B at the points A1, A2, A3 and A4.

1 Answer

+3 votes
by kratos
 
Best answer

Let the tow wires be positioned at O & P

R = OA,

= 2.828 × 10–2m

(a) vector B due to Q, at A1

(⊥r towards up the line)

vector B due to P, at A1

(⊥r towards down the line)

net vector B = 1 × 10–4 – 0.33 × 10–4 = 0.67 × 10–4T

(b) vector B due to O at A2

⊥r down the line

(b) vector B due to O at A2 = (2 x 10-7 x 10)/0.01 = 2 x 10-4T ⊥r down the line

net vector B at A2 = 2 × 10–4 + 0.67 × 10–4 = 2.67 × 10–4T

(c) vector B at A3 due to O = 1 × 10–4T ⊥r towards down the line

vector B at A3 due to P = 1 × 10–4 T ⊥r towards down the line

Net vector B at A3 = 2 × 10–4T

(d) vector B at A4 due to O

towards SE

vector B at A4 due to P = 0.7 × 10–4 T towards SW

= 0.989 ×10–4 ≈ 1 × 10–4 T

...