A hair dryer draws a current of 9.7 A.
(a) How much charge passes through the hair dryer in 3.5 min?
1 C
(b) How many electrons does this represent?
2 electrons
q = I•t = 9.7•3.5•60 = 2037 C.
N = q/e =2037/1.6•10^-19 = 1.27•10^22.
Thank you so much for helping me!!!!
To calculate the amount of charge that passes through the hair dryer, we can use the equation:
Charge = Current x Time
(a) Therefore, to find the charge passing through the hair dryer in 3.5 min, we can multiply the current of 9.7 A by the time of 3.5 min:
Charge = 9.7 A x 3.5 min
Substituting the values:
Charge = 33.95 C
Therefore, the hair dryer draws a charge of 33.95 C in 3.5 min.
(b) To find the number of electrons, we can use the fundamental charge of an electron, which is approximately 1.602 x 10^-19 C.
Number of electrons = Charge / Fundamental charge
Substituting the values:
Number of electrons = 33.95 C / (1.602 x 10^-19 C)
Number of electrons ≈ 2.119 x 10^20 electrons
Therefore, the hair dryer represents approximately 2.119 x 10^20 electrons passing through it in 3.5 min.
To answer these questions, we need to use the formula relating current (I) with the amount of charge (Q) passing through a device over a period of time (t):
Q = I * t
Where:
Q = charge (in coulombs, C)
I = current (in amperes, A)
t = time (in seconds, s)
In the given problem, we are given that the current drawn by the hair dryer is 9.7 A, and we need to find the charge passing through the hair dryer in 3.5 minutes.
(a) To find the charge passing through the hair dryer in 3.5 minutes, first, we need to convert 3.5 minutes into seconds:
3.5 minutes = 3.5 * 60 seconds = 210 seconds
Now, we can use the formula to calculate the charge:
Q = 9.7 A * 210 s
Q = 2037 C
Therefore, the charge passing through the hair dryer in 3.5 minutes is 2037 coulombs.
(b) To find the number of electrons corresponding to this charge, we need to know that one coulomb (C) is equal to 6.24 x 10^18 electrons. Therefore, we can calculate the number of electrons as follows:
Number of electrons = charge (in coulombs) * (6.24 x 10^18 electrons/C)
Number of electrons = 2037 C * (6.24 x 10^18 electrons/C)
Number of electrons ≈ 1.27 x 10^22 electrons
Therefore, the number of electrons represented by 2037 coulombs is approximately 1.27 x 10^22 electrons.