Would the answer be c?
The electrical potential 10 cm from an electron is:
a) 1.4x10^-8 V
b) 1.4x10^-10 V
c) 1.4x10^-7 V
d) 1.2x10^-4 V
k Q/r
9*10^9 * 1.6*10^-19/10^-1
14.4 *10^-9 = 1.44 *10^-10
14.4 *10^-9 = 1.44 *10^-8
To determine the electrical potential 10 cm from an electron, we can use the equation:
V = k * q / r
where:
V is the electrical potential,
k is Coulomb's constant (approximately 9 x 10^9 N m^2/C^2),
q is the charge of the electron (approximately -1.6 x 10^-19 C), and
r is the distance from the electron.
Substituting the values into the equation:
V = (9 x 10^9 N m^2/C^2) * (-1.6 x 10^-19 C) / (0.10 m)
Calculating this expression gives us:
V ≈ -2.9 x 10^-9 V
Since the question asks for the answer in scientific notation, the option that matches the calculated value is:
c) 1.4 x 10^-7 V.
Therefore, the answer is not c.
To find the electrical potential 10 cm from an electron, we need to use the formula for electrical potential due to a point charge. This formula is given by:
V = k * (q / r)
Where:
V is the electrical potential
k is Coulomb's constant (8.99 x 10^9 N m^2/C^2)
q is the charge of the electron (-1.6 x 10^-19 C)
r is the distance from the point charge (10 cm = 0.1 m)
Plugging in the values:
V = (8.99 x 10^9 N m^2/C^2) * (-1.6 x 10^-19 C) / (0.1 m)
When you calculate this expression, you will find that the value for V is approximately -1.44 x 10^-8 V.
Comparing this with the given options:
a) 1.4 x 10^-8 V
b) 1.4 x 10^-10 V
c) 1.4 x 10^-7 V
d) 1.2 x 10^-4 V
We can see that the closest option to the calculated value is option a) 1.4 x 10^-8 V.
Therefore, the final answer is a) 1.4 x 10^-8 V.