Please Help me on these:

3. What mathematical expression tells you to what percentage the charge is after n t1/2's?
(All these should be multiplied by 100% to obtain the percentage.)
2- n
V*C
e-t/τ
R*C
1 - 2^- n ((((((((((( I think this is right what do you think)))))))))))
R*C*ln2

4. What expression tells you what percentage is left to be charged at the same n t1/2's?
(All these should be multiplied by 100% to obtain the percentage.)
R*C
R*C*ln2
( 2n - 1 ) 2^- n ((((((((((( I think this is right what do you think)))))))))))
1 - 2- n
V*C
1-e-t/τ
2- n
5. Given a resistance of 165 Ω and a capacitance of 335 μF,
what is t1/2?
t1/2 = [milliseconds]
(Answer to one tenth of a millisecond or N/A if there is no answer.)

t1/2 = 38.3 Now I found this by doing this: 165*335 =55275 then 55275*Ln(2)=38313.71[milliseconds]

I don't know if this is right or not?

6. Given a resistance of 165 Ω and a capacitance of 335 μF,
what is the time constant τ (tau)?
τ (tau) = [units reserved for next question.]
Use normal unit for this answer not milli nor micro units.

τ (tau) = 55.3 I found this by simply multiplying 165*335 =55275
Use normal unit for this answer not milli nor micro units.

Again I am not sure if this is right or not please help.

7. What are the units of τ?
F
μF
second ((((((I think this is the answer what do you think))))))))
Volt
Amp
Coulomb
Volt/Amp
Coulomb Volt
Ω

8. You have an RC circuit and you measure the "zero" voltage to actually be -2.595 [Volts].
The peak voltage is measured to be 8.502 [Volts].
At what voltage value will you look for t5 = time stamp for 31/32 total charge?
[Volts] (((((((Please show me some steps on this i am extremely confused on this one.))))))))))))))))))))))))))))))))
(Use three significant figures or N/A if there is no answer.)

5. t(1/2) = Ln2 * 0.165k Ohm * 335uF = 38.3 milliseconds.

6. tau = RC = 165 Ohm * 335*10^-6F =
55275*10^-6 = 5.53*10^-2 Seconds.

7. Seconds.

question 3.. you are correct

question 4 you are not correct

3. The mathematical expression that tells you the percentage of charge after n t1/2's is:

1 - 2^(-n)

4. The expression that tells you the percentage left to be charged after n t1/2's is:
(1 - 2^(-n)) * 100%

5. To calculate t1/2, you can use the formula t1/2 = (R*C) * ln(2). Given a resistance of 165 Ω and a capacitance of 335 μF, the calculation would be:
t1/2 = (165 * 335) * ln(2) = 38313.71 milliseconds

6. To calculate the time constant τ, you can use the formula τ = R * C. Given a resistance of 165 Ω and a capacitance of 335 μF, the calculation would be:
τ = 165 * 335 = 55275

7. The units of τ are seconds.

8. To find the voltage value for t5, you can use the formula V = Vpeak * (1 - (1/2)^n), where n represents the time in t1/2 intervals. In this case, n = 5, so the calculation would be:
V = 8.502 * (1 - (1/2)^5) = 8.502 * (1 - 1/32) = 8.502 * (31/32) = 8.256 V (rounded to three significant figures)

To answer question 3:

The correct mathematical expression that tells you to what percentage the charge is after n t1/2's is: 1 - 2^-n. This expression represents the remaining charge as a percentage after n half-lives. You are correct.

To answer question 4:
The expression that tells you what percentage is left to be charged at the same n t1/2's is: 1 - 2^-n. This expression gives the percentage of charge remaining to be charged after n half-lives. You are correct.

To answer question 5:
To find the value of t1/2, you need to use the formula t1/2 = R * C * ln(2). Given a resistance of 165 Ω and a capacitance of 335 μF, you can substitute these values into the formula to calculate t1/2.

t1/2 = 165 * 335 * ln(2) ≈ 383.13 milliseconds.

So, the correct answer is t1/2 = 383.13 milliseconds.

To answer question 6:
To find the value of the time constant τ (tau), you can use the formula τ = R * C. Given a resistance of 165 Ω and a capacitance of 335 μF, you can substitute these values into the formula to calculate τ.

τ = 165 * 335 ≈ 55275.

So, the correct answer is τ = 55275.

To answer question 7:
The units of τ are seconds. You are correct.

To answer question 8:
To find the voltage value for t5, you need to consider the time constant τ and the charge remaining. Since the question asks for the time stamp for 31/32 total charge, you need to determine the time at which 31/32 (or 0.96875) of the charge is reached.

You can use the equation V = Vmax * (1 - e^(-t / τ)) to determine the time at which 31/32 of the charge is reached. Rearranging the equation, you get -t / τ = ln(1 - V/Vmax).

Substituting the given values, where Vmax = 8.502 V and V = -2.595 V, you can solve for t.

-t / 55275 = ln(1 - (-2.595) / 8.502)
-0.000046943 * t = -0.366515

Solving for t, you get t ≈ 7806.08 seconds.

Therefore, the voltage value for t5 is approximately 7806.08 seconds.

Please note that these calculations are based on the given equations and values, and may vary depending on specific circuit configurations.