Find the charge q(t) flowing through an device if the current is:
(c) i(t)= 20 cos(10t + π/6)10^-6A, q(0)=2(10^-6)C
My problem in this question is the substitution.
I know that u=10t+π\6 , and u'=10, but the u' doesn't equal to the 20 in front of the cos, how do I find the derivative that will equal the "20".

Want to see the full answer?
Check out a sample Q&A here


Related Electrical Engineering Q&A
Find answers to questions asked by students like you.
Q: 3.9.[1] A uniform volume charge density of 80 µC/m³ is present throughout the region 8mm 10 mm,…
A: Here uniform volume charge density is given we have to find charge enclosed and Dr
Q: The value of E at P(p = 2,4 = 40°, z = 3) is given as E = 300ap -200a+100a V/m. Determine the…
A: Given The question is related to electrostatics.we need to find the incremental work required to…
Q: nergy and Potential Q3) Calculate the electric field intensity, the energy, and the volume charge…
A: Electric field Intensity- Electric field intensity is the force per unit charge when a charge is…
Q: D3.5. A point charge of 0.25 µC is located at r = 0, and uniform surface charge densities are…
A: Click to see the answer
Q: A line of length I carrying a charge Q produces the following electric potential at a perpendicular…
A: Based on the given assumption a much greater than l , we will find potential at a far greater length…
Q: Q1) Given the following charge distributions; 2 pC at P (1,1,1), 2 (y=-3), 5 PC at m2 at (x=2), find…
A: As per BARTLEBY GUIDELINES, I answered one question (i.e.; Q-1) . Please repost other question…
Q: Electric current of 200 A is carried through a 5 mm diameter cylindrical wire which has a resistance…
A: Given values, D=5mmI=200AT0=24°CTS=40°CRl=0.003Ω/m
Q: 2) A potential function of charge distribution of Q = v27µC is given as V(x) = ke (Volt) as a…
A: Click to see the answer
Q: a region near the origin current density iš in the radial direction with a value of 10r-1.5 A/m2 a)…
A: Click to see the answer
Q: Given 2 conductors in a free space, the electric field produced by a difference in voltage potential…
A: Brief description: For the given value of electric field and charge we need to compute the value of…
Q: 3.15 i Volume charge density is located as follows: p, = 0 for p 2 mm, py = 4p µC/m³ for 1 < p < 2…
A: We need to find out charge and electric field density of given charge distribution .
Q: 1. A metal object with length 10 m, resistance is I kN and mobility is 4000 cm/v.s. If the…
A: In the given question we note that length = 10 m Resistance = 1k 1kΩmobility = 4000cm2/vsIf the…
Q: If electric field intensity is given as x²ax+ 4ay + (z2 - y)az V/m, the volume charge density at (1,…
A: Click to see the answer
Q: Consider a line of charge that extends along the x axis from x = 0 to x = 4.7 m. The line has a…
A: The amount of work energy needed to move a charge from a point to another point in presence of an…
Q: 3.22 Let D= 8p sin pa, + 4pcos pa C/m2. (a) Find div D. (b) Find the volume charge density at P(2.6,…
A: Click to see the answer
Q: PRACTICE EXERCISE 4.8 If D = (2y + z)a, + 4xya, + xa, C/m, find %3D (a) The volume charge density at…
A: Click to see the answer
Q: Find the potential difference VAB, A (2, π / 2, 0) and B (4, π, 5) for a linear charge with density…
A: We need to calculate potential difference due to infinite long wire .we know direct formula for…
Q: A 5-mC charge is in vacuum where the existing electric field is Ē = 2xy¬1z³ax – x²y=²z³a, work done…
A: Work done in a Moving charge is given by W=Q×VV=-∫intialFinalE.dl To avoid the confusion of 3-D…
Q: Q1) Given the following charge distributions; 2 pC at P (1,1,1), 2 at m2 at (x=2), find in Cartesian…
A: Click to see the answer
Q: 1. Find the force on charge Q1, 20µC, due to charge Q, -300µC, where Qi is at (0, 1, 2) m and Q2 at…
A: Given: Brief description: For the given two static point charges we need to calculate force on…
Q: PRACTICE EXERCISE 4.9 A charge distribution in free space has p, = 2r nC/m' for 0 s rs 10 m and zero…
A: Click to see the answer
Q: Given the potential field, V=2xy-20z, and a point P(5, -10, 2), find the value volume charge density…
A: This is the basic question related to the volume charge density where the potential field is given…
Q: copper wire of 2mm diameter with conductivity of 5.8*10 7 S/m and electron mobility of 0.00032m 2 /…
A: We need to find out charge density , current density and current and drift velocity for given Copper…
Q: QI) Answer only two branches (a) The region in which 4 <r<5, 0<e<25°, and 0.9m O<1.1m contains the…
A: As per Bartleby guidelines we are allowed to solve only one question, please ask the rest again.…
Q: a a (b) P'
A: Click to see the answer
Q: The electric field strength outside a finite distribution of charge whose volume charge density…
A: Any charged particle produces an electric field. This electric field is directed from the positive…
Q: expression for the volume charge density. (2) Calculate the total charge enclosed by the volume…
A: Click to see the answer
Q: Q4:Calculate the work done in moving 10μC charge from point A(0,0,0) to point B(1,1,0) in the…
A: Click to see the answer
Q: Quèstion 21 In dielectric material with ɛ=2.8 ɛ0, V= sin(3p). At point P (1, 10°, 4), the volumetric…
A: Volume charge density = divergence of flux density. Flux density = E0 *ER *Electric flux intensity.…
Q: A point charge 5 nC is located at (- 3, 4, 0) while line y = 1, z = 1 carries uniform charge2 %3D…
A: Click to see the answer
Q: Q1) Given the following charge distributions; 2 pC at P (1,1,1), 2; (y=-3), 5 at (x=1, z=1), and 1…
A: Click to see the answer
Q: Q1) Given the following charge distributions; 2 pC at P (1,1,1), 2 pC at m2 pC (y=-3), 5 at (x=1,…
A: Click to see the answer
Q: c) An electric potential is expressed as V = xy²(z + 3) [V]. Find the followings: i. the expression…
A: Click to see the answer
Q: Q1) a-The electrical conductivity and electron mobility for aluminum are 3.8X10' (2.m)and 0.0012…
A: 1. (a) It is given that: Conductivity=σ=3.8×107 Ω-m-1mobility=μ=0.0012 m2V-scurrent=I=25 Amagnetic…
Q: D3.4. Calculate the total electric flux leaving the cubical surface formed by th planes x, y, z =±5…
A: A) from the Gauss law we knows that total electric flux through any closed surface is equal to the…
Q: D6.8. Given the volume charge density p, = -2 x 10’eo/FC/m³ in free space, let V = 0 at x = 0 and…
A: (a) In the given question, we have the values given as ρV=-2×107ε0xC/m3 Since, we know that…
Q: point charge of 4 cos 10% nt μC is located at P+(0,0,1.5), while .A -4 cos 10% nt μC is at P_(0, 0,…
A: Click to see the answer
Q: Q3/A point charge of 0.25 µC is located at r = 0, and uniform surface charge densities are located…
A: Given that: Point charge located at r = 0 is Q1= 0.25 μC. The uniform surface charge with charge…
Q: Given 2 conductors in a free space, the electric field produced by a difference in voltage potential…
A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…
Q: Q3: Given the electric flux density, D=2xy a,+x a,+6z a, Cán?: a) use Gauss' law to evaluate the…
A: The solution is given below
Q: Given that D = zp cos o a, C/m², calculate the charge density at (1, a/4, 3) and the total charge…
A: Option B 4/3 *pi coloumb Charge density at given point is 0.5
Q: Find the D at distance r = 0.5 cm for a point charge of 0.25 uC located at r = 0 and uniform surface…
A: Given: Point charge Q1=0.25 μC located at r=0 Uniform surface charge density of ρs=2 mC/m2 at r=1 cm
Q: Calculate the total charge present within the region -8 < p <7, -1.6n < p < 1.2t, -5 < z < 10, given…
A: Click to see the answer
Q: A square plate described by -2 sxs 2, -2 sys 2, z = 0 carries a charge 12 y mC/m. Find the total…
A: Click to see the answer
Q: 3.27 i Let D = 5.00/²a, mC/m² for r 0.08 m. (a) Find p, for r = 0.06 m. (b) Find p, for r = 0.1 m.…
A: Click to see the answer
Q: Charged sphere (mass= 20 g, q=2 µ C) is connected with a neglected mass string to a uniformly…
A: Click to see the answer
Q: 4.22 Given the electric flux density D = 82(x + y) + ŷ(3x – 2y) (C/m²) determine (a) p, by applying…
A: Click to see the answer
Q: 1. The electric flux density D= 10x3 /3ax C/m2. Determine the total charge in Coulomb inside a cube…
A: As per our company guidelines we are supposed to answer only first question kindly repost other…
Q: a) A small electrically heated element of surface area 33.2 cm² is encloscd in a large vessel. When…
A: Click to see the answer











