help please!!! Two parallel cables carrying currents IA and IB in opposite direc

Question

help please!!!

Two parallel cables carrying currents IA and IB in opposite directions are separated D cm apart. Determine the distance X from cable A where the total magnetic field is ZERO. Negative mean LEFT of cable A IA = 15.0 A IB = 10.0 A d = 15 cm A 0.62 B 0.41 C 0.83 D 0.37 A small sphere of mass 5.1 g hangs from an insulating thread. A horizontal field E is applied to the sphere and it 10 degree from the vertical as shown 7.2 times 10 N/C the charge on the mass is Use equilibrium of forces) A 1.86 B 1.22 C 1.46 D 1.94

Explanation / Answer

B.

1.22*10^-8 C

here is the explanation.

In this the explanations are normally of

As the sphere is in equilibrium net force acting on the spehre in x and y directions is zero.

let T is the tension in the string.

Fnetx = 0

T*sin(10) - q*E = 0

T*sin(10) = q*E ----(1)

Fnety = 0

T*cos(10) - m*g = 0

T*cos(10) = m*g ---(2)

Solve of the....

take equation(1)/equation(2)

T*sin(10)/(T*cos(10)) = q*E/(m*g)

tan(10) = q*E/(m*g)

q = m*g*tan(10)/E

Puting the value ....

= 5.1*10^-3*9.8*tan(10)/(7.2*10^5)

= 1.22*10^-8 c

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