Question
A rod PQ of length 0.6 m moves on smooth rails with
speed 3 m/s in a magnetic field B = 0.5 T. The rails form a closed circuit with 4 Ω resistance. Find power dissipated in the resistor.Solution
Length of rod PQ: L = 0.6 m Speed of rod: v = 3 m/s Magnetic field: B = 0.5 T Circuit resistance: R = 4 Ω Find the induced EMF When a conductor moves through a magnetic field, the motional EMF is: ε = BLv ε = (0.5)(0.6)(3) ε = 0.9 V Step 2: Find the induced current Using Ohm's law: I = ε/R = 0.9/4 = 0.225 A Find the power dissipated Power can be calculated using any of these equivalent formulas: P = I²R P = ε²/R P = εI Using P = I²R: P = (0.225)² × 4 P = 0.050625 × 4 P = 0.2025 W
A pipe fills a cubical tank at the rate of 243 m3 per minute in 24 minutes. If a cylindrical tank having height same as the side of a cubical...
The circumference of a circle is 33 cm and the length of the rectangle is 8 times the radius of the circle. Find the area (in cm2) of the rec...
A sphere is melted and recast into 8 smaller spheres of equal size. If the radius of the original sphere is 12 cm, find the radius of each smaller sphere.
A tank whose length, width and height are 24 metres, 22 metres and 15 metres respectively is completely filled with juice. If the juice costs Rs.4/m
- Six cubes, each with side 5 cm, are placed side by side in a straight line to form a cuboid. What is the total surface area of the resulting cuboid?
Ratio of length to width of a rectangular field is 7:4. If the perimeter of the field is 220 metres, then find the area (in m2) of the field.
In a zoo, 30% of the people are males. 50% of the remaining are females and the remaining 630 are children. Find the total number of people in a zoo.
The total area of a circle and a square is 6350 cm2, the diameter of the circle is 70cm, what is the difference between the circumference of ...
The volume of a cube is 21952 cm 3 in which a maximum possible size of circle is drawn on each face. The circle drawn on each face of the cu...
In an equilateral triangle ABC, D is the midpoint of side BC. If the length of BC is 8 cm, then the height of the triangle is:
Relevant for Exams:
