the electric charge move in a conducting wire at
instant time t is Q(t)=2t+3 , where t in sec and Q in C :
calculate the amount of charges pass through a cross section of
wire during t=0 to t=4 sec

the electric charge move in a conducting wire at instant time t is Q(t)=2t+3 , where...
The total amount of charge in coulombs that has entered a wire at time t is given by the expression Q=4t?t2, where t is in seconds and t?0. Find an expression for the current I in the wire at time t, where t is in seconds and I is in amperes. Graph I versus t for the interval 0?t?4s.
#1 and #3
I) )A solid insulating sphere of radius a carries a net positive charge density 3p uniformly distributed throughout its volume. A conducting spherical shell of inner radius 2a and outer radius 3a is concentric with the solid sphere and carries a net charge density-22 Using Gauss's law, find the electric field everywhere. Sketch the electric field 2) "A) The current density in a cylindrical wire of radius R meters is uniform across a cross section of the...
Suppose that at one instant, the electric charge distribution on a person's heart can be represented by charges q, and q, as shown in in the figure. Calculate the force on the sodium ion (charge q) in tissue to the right of the heart due to the positive and negative charges on the heart.
4. Imagine a piece of conducting wire with qurrent I and eross section A and a negative oharge q at a distance of r from the center of the wire. Now uging two different reference frames: (1) where the charge q and the negative ourrent carriers in the wire are both moving to the right with velootty vand (u) where the wire itself moving with velocity v to the left and the charge q in stationary, show that the force...
R Q1-Ch23 A conducting solid sphere of radius R with unknown charge Q is at the center of a conducting hollow sphere of inner radius 3R and outer radius 4R. The hollow sphere has charge -2q. Take the origin as the center of the spheres. Take the potential at infinity as zero. a) Calculate Q if the electric potential at r = 2R is zero. b) Suppose that a conducting thin wire is connected between the spheres. How much electron...
3. (8 points) Consider a conducting sphere with total electric charge +Q with radius Rị centered at p= 0 (spherical coordinates). The surface charge at r = R1 is spread uniformly on this spherical surface. There is also an outer conducting shell of radius r = R2, centered at r = 0 and with total electric charge - Q also spread uniformly on the surface. This arrangement of separated positive and negative charge forms a capacitor. We will assume that...
The total amount of charge that has entered a wire at time t is given by the expression Q=(74C)(1−e−t/(2.0s)), where t is in seconds and t≥0. Part B What is the maximum value of the current? Express your answer using two significant figures.
A large capacitor has a charge + q on one plate and -q on the other. At time t = 0, the capacitor is connected in series to two ammeters and a light bulb. Immediately after the circuit is closed, the ammeter connected to the positive plate of the capacitor reads Ip and the ammeter connected to the negative plate of the capacitor reads IN. (Figure 1) Each ammeter reads positive if current flows through the circuit in a clockwise direction (from...
a) Derive from the definition of the clectric current I = [s df - j through the arca S the dwhere dQ is the charge formula for the electric current inside a conducting wire I which flows through the cross section of the wire in the time dt stationary charge distribution, 2n wire have to be equal and independent of the cross sections of the wire both ends of the b) Show that for a 0, the currents on OSS...
Electric potential for a continuous charge distribution: Let's consider a line of charge, of length L having a uniform charge density lambda = 10^-6 C/m and length L=10 cm. Find the electric potential at point P, which is at a distance Z=5 cm. above the midpoint of the line. where In is the natural logarithm. Consider two charged conducting spheres, radii r1 and r2, with charges q1 and q2, respectively. The spheres are far away from each other but connected...