If the Earth's field (5.0×10−5 T) points north with a dip angle of 38∘, which direction(s) will the car be moving to produce the maximum emf induced in the antenna?

a. the car moves 90° to the north in the east-west direction b. 0.61 mV

Explanation:

Here is the complete question

When a car drives through the Earth's magnetic field, an emf is induced in its vertical 55-cm-longradio antenna.

Part A

If the Earth's field (5.0×10−5 T) points north with a dip angle of 38∘, which direction(s) will the car be moving to produce the maximum emf induced in the antenna?

Part B

What is the maximum emf induced in the antenna? The car's speed is 22.0 m/s on a horizontal road.

Express your answer to two significant figures and include the appropriate units.

Solution

The induced emf E = -dBAcosθ/dt . where B is the earth's magnetic field strength and A the area the field passes through. The induced emf is maximum when the angle between the field and the area is zero. That is cosθ = 0 ⇒ θ = 90°. Thus the car moves 90° to the north in the east-west direction.

b. The induced emf E = BLVsinθ where B = magnetic field strength = 5.0 10⁻⁵ T, L = length of antenna = 55 cm = 0.55 m and V = velocity of car = 22 m/s, θ = angle between the north and the field = 38°.

So, E = 5.0 10⁻⁵ T × 0.55 m × 22 m/s sin38 = 0.605 × 10⁻³ V = 0.61 mV

weather forecasts are done by collecting data about the current state of the atmosphere mainly the temperature, humidity and wind and using meteorology, to determine the atmosphere that evolves over time. the h and l mean the high and low pressure. the red strip is a warm front. the blue strip is a cold front. the blue and red strip is a stationary front. the purple strip is a occluded front.

explanation: