A thin wire is bent in the form of a semi circular ring of radius `R=0.9m` carries a current `I=1amp` . The magnetic induction at a point `P` as shown in the fig. is given by `nX10^(-7)` Tesla. Find the value of `n.[ln(sqrt(2)+1)=0.9]`

Answer

1

Explanation

`r=2Rcos.(theta)/(2)" "phi=90-(theta)/(2)`
`dB=(mu_(0))/(4pi)(I(Rd theta)sintheta)/(r)`
`=2(mu_(0)I)/(4pi)int_(0)^(pi//2)((Rd theta)(sin90-(theta)/(2)))/(2Rcostheta//2)`