What is the resonant frequency in an RLC circuit if R=5 , C=6, and L=12 mH, and V-115 V?

(a) 593
(b) 41,400
(c) 1560
(d) 1793

You are abusing the service we try to provide, by dumping your homework here, without making any visible effort.

You won't learn much physics that way.

No I got da answer A just don't kno if it's write

Your R and your C do not have dimensions.

I doubt if the C is in farads.

You need to use the formula
f(resonant, Hz) = [2*pi*sqrt(LC)]^-1

with L in Henries and C in farads.

(a) is not write, but it is right.

To find the resonant frequency in an RLC circuit, we use the formula:

\(f = \frac{1}{2\pi\sqrt{LC}}\)

Given:
Resistance (R) = 5 Ω
Capacitance (C) = 6 F
Inductance (L) = 12 mH = 0.012 H
Voltage (V) = 115 V

Let's substitute the values into the formula:

\(f = \frac{1}{2\pi\sqrt{(0.012)(6)}}\)

First, calculate the product of \(L\) and \(C\):

\(LC = (0.012)(6) = 0.072\)

Next, find the square root:

\(\sqrt{LC} = \sqrt{0.072} \approx 0.2683\)

Now, divide 1 by \(2\pi\sqrt{LC}\):

\(f = \frac{1}{2\pi(0.2683)} \approx 1.1793\)

The resonant frequency is approximately 1.1793 Hz.

Comparing this result with the answer choices provided:

(a) 593 Hz
(b) 41,400 Hz
(c) 1560 Hz
(d) 1793 Hz

None of the answer choices match the calculated resonant frequency. Hence, none of the options (a), (b), (c), or (d) are correct.