Magnets are attracted when each of the different sides, most commonly known as "North" and "South", are facing each other. They repel when North and North, or South and South are facing each other.
Answer:
a) Magnitude of maximum emf induced = 0.0714 V = 71.4 mv
b) Maximum current through the bulb = 0.00793 A = 7.93 mA
Explanation:
a) The induced emf from Faraday's law of electromagnetic induction is related to angular velocity through
E = NABw sin wt
The maximum emf occurs when (sin wt) = 1
Maximum Emf = NABw
N = 1
A = 4 cm² = 0.0004 m²
B = 6 T
w = (284/60) × 2π = 29.75 rad/s
E(max) = 1×0.0004×6×29.75 = 0.0714 V = 71.4 mV
Note that: since we're after only the magnitude of the induced emf, the minus sign that indicates that the induced emf is 8n the direction opposite to the change in magnetic flux, is ignored for this question.
b) Maximum current through the bulb
E(max) = I(max) × R
R = 9 ohms
E(max) = 0.0714 V
I(max) = ?
0.0714 = I(max) × 9
I(max) = (0.0714/9) = 0.00793 A = 7.93 mA
Hope this Helps!!
First, we calculate for the total volume of aluminum. The
volume of a cube is:
V = s * s * s = s^3
V = (2.70 cm)^3
V = 19.683 cm^3
Assuming atmospheric temperature, the density of aluminum is
about 2.70 g / cm^3. Therefore the equivalent mass of aluminum is:
m = 19.683 cm^3 * 2.70 g / cm^3
m = 53.1441 g
The molar mass of aluminum is 27 g / mol. Therefore the
number of moles is:
n = 53.1441 g / (27 g / mol)
n = 1.9683 mol
Given the number of moles, we can calculate for the number of
atoms using Avogadro’s number.
atoms = 1.9683 mol * (6.022 * 10^23 atoms / mol)
<span>atoms = 11.85 * 10^23 atoms (ANSWER)</span>
