M L 2 T − 2 I − 2. where M is mass, L is length, T is time, and I is electric current. Where high frequency currents are considered, with skin effect, the surface current densities and magnetic field may be obtained by solving the Laplace equation. Hence, dimensional formula for inductance is [L] = [A T − 1 M L 2 T − 3 A − 1 ] = [M L 2 T − 2 A − 2] Many important cases can be solved using simplifications. • If you are on a personal connection, like at home, you can run an anti-virus scan on your device to make sure it is not infected with malware. #implies [phi] = MT^(-2)L^2A^(-1)#, #[L] = [[phi]]/[[I]]# If you are at an office or shared network, you can ask the network administrator to run a scan across the network looking for misconfigured or infected devices. #implies [B] = (MLT^(-2))/(LA)# Stay curious! How do I determine the molecular shape of a molecule? • #implies [B] = MT^(-2)A^(-1)#, #[phi] = [B]L^2# Your IP: 198.24.184.218 For inductance, the defining equation is, #phi = LI# But #phi# has units (magnetic field)*(length)^2. The dimensional formula of Inductance is. #implies [V] = ML^2T^(-3)A^(-1)#. Performance & security by Cloudflare, Please complete the security check to access. How do you calculate the ideal gas law constant? What are the units used for the ideal gas law? #[V] = (LMLT^(-2))/(AT)# Where the conductors are thin wires, self-inductance still depends on the wire radius and the distribution of the current in the wire. Also, charge has dimensions of (current)(time) and force has dimensions (mass)(length)/(time)^2. #implies [L] = MT^(-2)L^2A^(-2)#, 65340 views Now #V# has units of (electric field)*(distance). For inductance, the defining equation is, But #phi# has units (magnetic field)*(length)^2, Magnetic field from Lorentz force law has units, (Force)(velocity)^(-1)(charge)^(-1), #[B] = (MLT^(-2))/(LT^(-1)AT)# How does Charle's law relate to breathing? Formula for Inductance \(L=\mu N^2A/l\) Where L = inductance in Henry (H) μ = permeability (Wb/A.m) N = number of turns in the coil A = area encircled by the coil. This current distribution is approximately constant (on the surface or in the volume of the wire) for a wire radius much smaller than other length scales. You may need to download version 2.0 now from the Chrome Web Store. Cloudflare Ray ID: 5d953eeccaa22598 Another way to prevent getting this page in the future is to use Privacy Pass. Magnetic field from Lorentz force law has units, (Force)(velocity)^(-1)(charge)^(-1) Therefore, dimensions of magnetic field, #[B] = (MLT^(-2))/(LT^(-1)AT)# #implies [B] = (MLT^(-2))/(LA)# #implies [B] = MT^(-2)A^(-1)# In the most general case, inductance can be calculated from Maxwell's equations.