The potential difference applied to an X-ray tube is 5 kV and the current through it is
3.2 mA. Then the number of electrons striking the target per second and speed at which they strike?
electrons/sec = I/e
Electron energy E = e*V
Electron velocity = sqrt(2E/m)
e = electron charge
m = electron mass
To calculate the number of electrons striking the target per second and the speed at which they strike, we need to use the formula:
Number of electrons striking the target per second = Current (I) / Charge of an electron (e)
Speed at which the electrons strike = Potential difference (V) / Electron Charge (e)
Let's calculate the values step by step:
1. Number of electrons striking the target per second:
The charge of an electron is approximately 1.6 x 10^-19 Coulombs (e).
First, convert the current from mA to A:
Current (I) = 3.2 mA = 3.2 x 10^-3 A
Now, calculate the number of electrons striking the target per second:
Number of electrons striking the target per second = Current (I) / Charge of an electron (e)
Number of electrons striking per second = (3.2 x 10^-3 A) / (1.6 x 10^-19 C)
2. Speed at which the electrons strike:
The potential difference is 5 kV. Convert it to volts:
Potential difference (V) = 5 kV = 5 x 10^3 V
The electron charge is still 1.6 x 10^-19 Coulombs (e).
Now, calculate the speed at which the electrons strike:
Speed at which the electrons strike = Potential difference (V) / Electron Charge (e)
Speed = (5 x 10^3 V) / (1.6 x 10^-19 C)
Perform the calculations, and you will get the values for the number of electrons striking the target per second and the speed at which they strike.