A beam of electrons moving at a speed of 106m/s along a line produces a current of 1.6 ´ 10–6A. The number of electrons in the 1 metre of the beam is:
Question
A beam of electrons moving at a speed of 106m/s along a line produces a current of 1.6 ´ 10–6A. The number of electrons in the 1 metre of the beam is:
Solution
The question is asking for the number of electrons in a 1 metre length of the beam. To find this, we need to use the formula for current, which is I = Q/t, where I is the current, Q is the charge, and t is the time.
First, we need to find the time it takes for the electrons to travel 1 metre. This can be found using the formula t = d/v, where d is the distance and v is the velocity.
t = 1m / 106m/s = 0.00943 seconds
Next, we substitute the values of I and t into the formula for current to find Q.
1.6 x 10^-6 A = Q / 0.00943 s
Solving for Q gives Q = 1.6 x 10^-6 A * 0.00943 s = 1.508 x 10^-8 C
The charge of one electron is approximately 1.6 x 10^-19 C. Therefore, the number of electrons in the 1 metre length of the beam is Q / charge of one electron = 1.508 x 10^-8 C / 1.6 x 10^-19 C = 9.425 x 10^10 electrons.
So, there are approximately 9.425 x 10^10 electrons in the 1 metre length of the beam.
Similar Questions
beam of electrons moves in astraight line parallel to the beam ofprotons in the same direction, as inthe figure. The force between themis….
A current of 1 A is drawn by a filament of an electric bulb. Numberof electrons passing through a cross section of the filament in 16seconds would be roughl
A 240-km-long high-voltage transmission line 2.00 cm in diameter carries a steady current of 1,250 A. If the conductor is copper with a free charge density of 8.50 1028 electrons per cubic meter, how many years does it take one electron to travel the full length of the cable? (Use 3.156 107 for the number of seconds in a year.)
A current of 4.8 A is flowing in a conductor. The number of electrons passing through anycross-section per second is
here is a current of 20 amperes in a copper wire of square metre area of cross-section. If the number of free electrons per cubic metre is then the drift velocity is:
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.