What must the charge (sign and magnitude) of a 1.45-g particle be for it to remain stationary when placed in a downward-directed electric field of magnitude 700 N/C ?

Respuesta :

Answer:

charge will be equal to [tex]2.03\times 10^{-5}C[/tex]  

Explanation:

We have given mass of the particle m = 1.45 gram = 0.00145 kg

Acceleration due to gravity [tex]g=9.8m/sec^2[/tex]

Electric field E = 700 N/C

Electric force will be equal to [tex]F=qE[/tex], here q is charge and E is electric field

For particle to be stationary this force must be equal to force due to gravity , that is mg force

So qE = mg

[tex]q=\frac{mg}{E}=\frac{0.00145\times 9.8}{700}=2.03\times 10^{-5}C[/tex]

So charge will be equal to [tex]2.03\times 10^{-5}C[/tex]

The charge on the particle as described is; 2.03 ×10⁵C.

Electric force and Force of gravity

The given mass of the particle, m = 1.45 g = 0.00145 kg

  • Acceleration due to gravity = 9.8m/s²

  • Electric field strength, E = 700 N/C

Electric force on the particle is therefore given by;

  • F = qE

where

  • q =charge,

  • F= force = mg

  • E is electric field

For particle to be stationary this force must be equal to force due to gravity , that is mg force

Hence, qE = mg

  • q = mg/E.

  • q = (0.00145 ×9.8)/700

The charge on particle is therefore; 2.03 ×10⁵C.

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