Answer
Please see the work below.
Work Step by Step
(a) We know that
$B=\frac{\frac{F}{L}}{I sin\theta}$
We plug in the known values to obtain:
$B=\frac{0.033}{(6.2)sin7.5^{\circ}}=0.041T$
$B=41mT$
(b) As $\theta=sin^{-1}\frac{\frac{F}{L}}{IB}$
We plug in the known values to obtain:
$\theta=sin^{-1}\frac{0.015}{(6.2)(0.041)}$
$\theta=3.4^{\circ}$
