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Four point charges are positioned as such: A(0,1), B(2,1), C(0,0), D(2,0). Charge A = -3 microcoulombs, Charge B = 3 microcoulombs, C = 2 microcoulombs, and D = -2 microcoulombs. What is the net electric field experienced at the origin.
11– 20. A hydrogen atom consists of a single proton and a single
electron. The proton has a charge of +e and the
electron has −e. In the “ground state” of the atom, the electron orbits
the proton at most probable distance of
7.48 × 10−11 m (as shown in the figure below). Calculate the electric
force on the electron due to the proton?
Three capacitors of capacitances C1 = 15 μF, C2 = 30 μF, and C3 = 45μF were connected in series to a potential difference V. Find the equivalent capacitance of the three capacitors.
Determine the capacitance of a spherical air-filled capacitor of radius, 𝑅_1 = 2.5 c𝑚 and 𝑅_2= 0.45 d𝑚.
An amount of charge is distributed uniformly throughout a spherical shell that has a diameter 0.52m. At the center, there is a point charge q = 70 μC. Find the electric field outside the shell.
An infinitely long line of charge carries 75 pC along each 1 meter of length. Find the electric field 0.40 m from the line of charge.
Two point charges are located on the x-axis of a coordinate system: 𝑞_1 =-1.5 𝑛𝐶 is at 𝑥 = +4.0 𝑐𝑚, and 𝑞_2=−3.5 𝑛𝐶 is at 𝑥 = +2.0 𝑐𝑚. What is the total electric force exerted by 𝑞_1 and 𝑞_2 on a 𝑞_3= 2.0 𝑛𝐶 at 𝑥 = +3 cm?
Force between two point charges: Two point charges,
and , are separated by a distance
(Refer to the figure below). Find the magnitude
and direction of the electric force (a) that exerts on and (b)
that exerts on .
A current carrying wire(wire-1) with i1=10 Amperes is placed at the origin on the Y-Z plane. Another current carrying wire(wire-2) with i2=12Amperes is placed l=8m distance apart on the Y-axis. The point P2 is l1=6m from the wire-1. P1(0,6,−6), P2(0,6,0) and the point P3(0,6,7) are on the same line. The direction of the current is given in the figure.
Step 1: Consider a wire-1 only.
a) i. Calculate magnetic field at P1
ii. Calculate the magnetic field at P2
Step 2: Consider both wires
b) i. Now what is the net magnetic field at pointP2?
ii. What is the Magnetic field at point P3?
A single current-carrying circular loop of radius R=3.2cm is placed next to a long straight wire as shown in Figure. A current i1=−4.3A is passing through the wire towards right. At a certain moment an electron is moving at a velocity, v =440.0j m/s toward the centre of the circular wire. At the instant shown in figure, the electron’s distance from the wire is d=5.5cm. The distance between the circular loop and the wire is R/2.
a) Compute the magnitude of the magnetic field at the centre c due to the current passing through the straight wire
b) What is the magnitude of magnetic field at the centre c due to the motion of the electron
c) In unit vector notation, find the magnetic force on the electron due to the current passing through the straight wire
d) Calculate the magnitude and direction of the current to the circular wire to produce zero magnetic field at its centre c. Consider counter-clockwise circulation of current as positive
#339914 on Dec 2023