A charge of +1 C is moving with velocity V =(2 i +2 j - k ) ms ⁻¹ through a region in which electric field E =( i + j -3 k ) NC ⁻¹ and magnetic field B =( i -2 j +3 k ) T are present. The force experienced by the charge is

Step-by-step solution

F = q( E + v B ) , where q = +1 C, v = 2 i +2 j - k , E = i + j -3 k , B = i -2 j +3 k v B = vmatrix i & j & k 2 & 2 & -1 1 & -2 & 3 vmatrix = i (6-2) - j (6+1) + k (-4-2) = 4 i - 7 j - 6 k F = ( i + j -3 k ) + (4 i -7 j -6 k ) F = 5 i - 6 j - 9 k N