Answer:
Electric field, [tex]E=5.4\times 10^6\ N/C[/tex]
Explanation:
It is given that,
Electromagnetic force acting on the proton when it is at rest, [tex]F=8.7\times 10^{-13}\ N[/tex] (in +x direction)
Speed of proton, [tex]v=1.5\times 10^6\ m/s[/tex]
We need to find the magnitude of the electric field. We know that when the charged particle is at rest it experiences electric force which is given by :
F = q E
[tex]E=\dfrac{F}{q}[/tex]
q is charge on proton
[tex]E=\dfrac{8.7\times 10^{-13}\ N}{1.6\times 10^{-19}\ C}[/tex]
E = 5437500 N/C
or
[tex]E=5.4\times 10^6\ N/C[/tex]
So, the magnitude of electric field is [tex]E=5.4\times 10^6\ N/C[/tex]. hence, this is the required solution.