An experiment is set up to investigate the behaviour of electrons in electric fields - Scottish Highers Physics - Question 7 - 2016
Question 7
An experiment is set up to investigate the behaviour of electrons in electric fields.
(a) Electrons are accelerated from rest between the cathode and the anode by a... show full transcript
Worked Solution & Example Answer:An experiment is set up to investigate the behaviour of electrons in electric fields - Scottish Highers Physics - Question 7 - 2016
Step 1
Calculate the kinetic energy gained by each electron as it reaches the anode.
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To calculate the kinetic energy (KE) gained by each electron:
The formula for kinetic energy gained is given by:
KE=qV
Where:
q is the charge of the electron, approximately 1.6×10−19 C.
V is the potential difference, which is 2000 V.
Substituting the values:
KE=(1.6×10−19)(2000)=3.2×10−16 J
Thus, the kinetic energy gained by each electron as it reaches the anode is 3.2×10−16 J.
Step 2
Determine the number of electrons passing between the metal plates in one minute.
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The number of electrons can be calculated using the formula:
Q=It
Where:
Q is the total charge,
I is the current (8.0 mA=0.008 A),
t is the time (in seconds, 1 minute=60 s).
First, we calculate the total charge in one minute:
Q=(0.008)(60)=0.48 C
Next, we find the number of electrons:
The charge of one electron is 1.6×10−19 C, hence:
Number of electrons=qQ=1.6×10−190.48=3.0×1018
Therefore, the number of electrons passing between the metal plates in one minute is approximately 3.0×1018.
Step 3
Complete the diagram to show the electric field pattern between the two metal plates.
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To represent the electric field pattern:
Draw straight lines with arrows pointing downwards between the two metal plates, indicating the direction of the electric field.
Ensure that the spacing between the lines is uniform, showing an approximately equal field strength.
The lines should start and finish on the plates, maintaining right angles to the plates.
Join the Scottish Highers students using SimpleStudy...