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What potential difference is needed to accelerate an electron from rest to a speed of 1.1×10⁶ m/s?

User Gobinath
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Final answer:

The potential difference needed to accelerate an electron from rest to a speed of 1.1×10⁶ m/s is approximately 290 mV.

Step-by-step explanation:

To calculate the potential difference needed to accelerate an electron from rest to a speed of 1.1×10⁶ m/s, we can use the formula:

V = (1/2)mv²/q

where V is the potential difference, m is the mass of the electron, v is its final velocity, and q is its charge.

Plugging in the values, we get:

V = (1/2)(9.11 × 10⁻³¹ kg)(1.1 × 10⁶ m/s) / (-1.60 × 10⁻¹⁹ C)

Solving this equation, we find that the potential difference needed is approximately 290 mV.

User Anurag Wagh
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