Question

confirm with dimensional analysis: w (omega) = 1/sqrt (LC) I need first three lines

confirm with dimensional analysis:

w (omega) = 1/sqrt (LC)

I need first three lines

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The unit of L is Henry which is the equivalent of one kilogram meter squared per Coulomb squared

So the dimension of L is

where m is mass, l is length and Q is charge

The unit of C is Farad which has a dimension of

where T is the time

Therefore the dimension of LC is

Hence dimension of

is

and the unit of is rad/s which has a dimension

Therefore by dimensional analysis, we can confirm that

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Confirm dimensional analysis Angular frequency w=1/(LC)^(1/2)
Confirm dimensional analysis Angular frequency w=1/(LC)^(1/2)
4. Let W be the three dimensional solid inside the sphere x^2 + y^2 + z^2...
4. Let W be the three dimensional solid inside the sphere x^2 + y^2 + z^2 = 1 and bounded by the planes x = y, z = 0 and x = 0 in the first octant. Express ∫∫∫ W z dV in spherical coordinates.
How do I solve both these problems? 1. Charges on the capacitors in three oscillating LC...
How do I solve both these problems? 1. Charges on the capacitors in three oscillating LC circuits vary as follows: (1) q = 2 sin(5t), (2) q =4 sin(3t), (3) q = sin(4t) (with q in coulombs and t in seconds). Rank the circuits according to (a) the current amplitude and (b) the period, greatest first. 2. In an oscillating LC circuit with C = 240 μF, the current is given by , i= 4sin(450t+0.6) where t is in seconds,...
I need to evaluate the double integral:I from 0 to 3, I from 0 to sqrt(9-y^2),...
I need to evaluate the double integral:I from 0 to 3, I from 0 to sqrt(9-y^2), integrand is Sqrt(1+x^2 + y^2)dxdy. I know I need to convert to polar coordinates: x = rcos theta, y = rsin- theta. The integrand becomes sqrt(1+r^2)?????. I know how to integrate that, but I don’t know how to convert the bounds for the integrals. I think for dtheta, because we go from the x-axis to the y-axis, so we go from 0 to pi/2....
I need to find dy/dx if y = pi^x(ln(sqrt(tanx)) I get y' = pi^xln(pi)(ln(sqrt(tanx))+pi^xsec^2x/2tanx However, I...
I need to find dy/dx if y = pi^x(ln(sqrt(tanx)) I get y' = pi^xln(pi)(ln(sqrt(tanx))+pi^xsec^2x/2tanx However, I still have a 1/y on the left hand side and I'm not sure if you multiply both sides by y to solve for y'.
I need to change the MATLAB code below to something else, but I need the solutions...
I need to change the MATLAB code below to something else, but I need the solutions to match each other. (Also try not to copy answer posted on chegg already) % % Problem 1.8 % clc; clear all; close all; % reset matlab w orthregdata; % load data n = length(a); w = ones(n,1); ma = w'*a/n; mb = w'*b/n; % ma = mean(a); % mb = mean(b); sa = norm(a-ma)/sqrt(n); sb = norm(b-mb)/sqrt(n); % sa = std(a,1); % Pass...
the microwave spectrum of (39)K(127)I consists of lines spaced by 3634 MHz. what it's the bond...
the microwave spectrum of (39)K(127)I consists of lines spaced by 3634 MHz. what it's the bond length of this molecule? I know i need to find the reduced mass would i then plug that into v= 1/2pi sqrt(k/reduced mass) and solve for k? and after that not sure where to go to solve for bond length, please help
Let V be a three-dimensional vector space with ordered basis B = {u, v, w}. Suppose...
Let V be a three-dimensional vector space with ordered basis B = {u, v, w}. Suppose that T is a linear transformation from V to itself and T(u) = u + v, T(v) = u, T(w) = v. 1. Find the matrix of T relative to the ordered basis B. 2. A typical element of V looks like au + bv + cw, where a, b and c are scalars. Find T(au + bv + cw). Now that you know...
Pls I need the answer to all questions 1) On December 9, the first mate on...
Pls I need the answer to all questions 1) On December 9, the first mate on a ship measures the altitude of the noonday Sun to be 46° to the south. What is the latitude of the ship? (Solve using L = ZA ± Sun degrees. Assume the winter solstice is on December 22 and the autumnal equinox is on September 22.) 2) What is the number of nautical miles between place A (20°N, 90°W) and place B (55°S, 90°E)?
1- Which of the following is a drawback of using three- dimensional graphs? a- three-dimensional graphs...
1- Which of the following is a drawback of using three- dimensional graphs? a- three-dimensional graphs are difficult to represent on paper. b- three-dimensional graphs cannot represent qualitative data. c- three-dimensional graphs cannot be rotated when presenting digitally. d- three- dimensional graphs can only express two variables at a time. e- three-dimensional graphs contains lines that overlap too much to be distinguishable. 2- the most frequently used chart in comparing the subdivisions of wholes is the a- line chart b-...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT