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What is the force exerted on an electron when it is in an electric field of strength 5 N C⁻¹? - Leaving Cert Physics - Question (1) - 2008

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What is the force exerted on an electron when it is in an electric field of strength 5 N C⁻¹?

Worked Solution & Example Answer:What is the force exerted on an electron when it is in an electric field of strength 5 N C⁻¹? - Leaving Cert Physics - Question (1) - 2008

Step 1

Calculate the Force on the Electron

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Answer

To find the force ( F ) exerted on an electron in an electric field ( E ), we use the formula:

F=EimesqF = E imes q

where:

E is the electric field strength (in N C⁻¹)

q is the charge of the electron, which has a value of approximately 1.6 imes 10^{-19} C.

Given that the electric field strength is E = 5 ext{ N C}^{-1}, we can substitute the values into the equation:

F=5extNC1imes(1.6imes1019extC)F = 5 ext{ N C}^{-1} imes (1.6 imes 10^{-19} ext{ C})

Now we perform the multiplication:

F=8.0imes1019extNF = 8.0 imes 10^{-19} ext{ N}

Thus, the force exerted on the electron in the given electric field is 8.0 imes 10^{-19} ext{ N}.

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