Answer:
Step-by-step explanation:
Force on moving proton due to magnetic field
F = BqV where B is magnetic field , q is charge on proton and v is its velocity
= 3.73 x 10⁻³ x 1.6 x 10⁻¹⁹ x 2460
= 14681.28 x 10⁻²²
= 14.68 x 10⁻¹⁹ N
According to Fleming's left hand rule , this force is towards positive z axis.
a ) electric field also acts in the positive z direction so , force on proton due to electric will be acting in positive z direction .
Magnitude of force = Eq where E is electric field and q is charge .
= 3.88 x 1.6 x 10⁻¹⁹ = 6.208 x 10⁻¹⁹ N
Net force will be sum of these two forces
= 14.68 x 10⁻¹⁹ N + 6.208 x 10⁻¹⁹
= 20.9 x 10⁻¹⁹ N
b )
electric field also acts in the negative z direction so , force on proton due to electric will be acting in negative z direction .
Magnitude of force = Eq where E is electric field and q is charge .
= 3.88 x 1.6 x 10⁻¹⁹ = 6.208 x 10⁻¹⁹ N
Net force will be difference of these two forces
= 14.68 x 10⁻¹⁹ N - 6.208 x 10⁻¹⁹
= 8.5 x 10⁻¹⁹ N
c )
In the third case , no force will act due to magnetic field because magnetic field and velocity of proton are aligned on the same line .
Only force is due to electric field
Magnitude of force = Eq where E is electric field and q is charge .
= 3.88 x 1.6 x 10⁻¹⁹ = 6.208 x 10⁻¹⁹ N
This force will act along the electric field or along the x direction .