Answer:
(a) 31.75 mph
(b) 31.77 mph
Explanation:
(a) For t = 10 min = 10 / 60 = 1 / 6 hour
According to the question,
dx /dt = 15 mph
dy / dt = 28 mph
After 10 minutes
x = 1/6 x 15 = 2.5 miles
y = 1/6 x 28 = 4.67 miles
According to diagram
Differentiate both sides with respect to t.
2D dD/dt = 2 x dx/dt + 2y dy/dt
D dD/dt = x dx/dt + y dy/dt
5.3 dD/dt = 2.5 (15) + 4.67 (28)
dD/dt = 31.75 miles/hour
(b) For t = 55 minutes = 55 / 60 hours
After 55 / 60 hours
x = 55 / 60 (15) = 13.75 miles
y = 55 / 60 (28) = 25.67 miles
According to diagram
Differentiate both sides with respect to t.
2D dD/dt = 2 x dx/dt + 2y dy/dt
D dD/dt = x dx/dt + y dy/dt
29.12 dD/dt = 13.75 (15) + 25.67 (28)
dD/dt = 31.77 miles/hour
Answer:
0.0016 T
Explanation:
Parameters given:
Diameter of wire = 5 mm = 0.005 m
Radius of wire, R = 0.0025 m
Number of turns, N = 200
Current through the wire, I = 0.10A
The magnitude of the magnetic field is given as:
B = (u₀NI) / (2πR)
Where u = magnetic permeability of free space.
B = (1.257 * 10⁻⁶ * 200 * 0.1) / (2 * π * 0.0025)
B = 0.0016 T
The magnitude of the Magnetic field is 0.0016 T.
Answer: A. silicon and oxygen
Explanation:
The two most abundance elements in earth's crust are silicon and oxygen.
The most abundant element in earth's crust is Oxygen (O) which has a percentage composition of 46.6%. Oxygen is mainly present as silicates, carbonates, sulphates etc.
The second most abundant element in earth's crust is Silicon (Si) which has a percentage composition of 27.7%
. Silicon is present in the form of silicates.
The third most abundant element in earth's crust is aluminium (Al) which has a percentage composition of 8.1 %.
The fourth most abundant element in earth's crust is Iron (Fe) which has a percentage composition of 5.0 %.
Answer:
When the voltage is at a maximum positive value, the the current is at a value that is maximum and positive
Explanation:
We know that the relation between the Voltage and the current is given using the Ohm's law, which states that the voltage (V) is directly proportional to the current (I)
Mathematically,
V ∝ I
Hence,
When the voltage is at a maximum positive value, the the current is at a value that is maximum and positive
