Problem $1($compulsory$)$ A pulsar has a period $T=1\mathrm{.}0s$ and a spin$-$slow$-$down rate of $|T^{}|={10}^{-11}.$ Estimate $($in numerical values$)$ the maximum magnetic field strength $|vec(B)|$ at the surface of this pulsar by assuming that the rotational kinetic energy is dissipated by magnetic dipole radiation. For numerical calculation, use $M=5{10}^{30}kg$ and $R=10km.$