Home
Class 12
PHYSICS
Two uniform wires of same material , eac...

Two uniform wires of same material , each weighing `1 g` but one having double the length of the other, are connected in series , carrying a current of `10 A`. The length of the longer wire is `20 cm`. Calculate the rate of consumption of energy in each of the two wires. which wire gets hotter ? The density of the material of the wire is `20 xx 10^(-5) Omega cm`.

Text Solution

AI Generated Solution

To solve the problem, we need to calculate the rate of consumption of energy (heat produced) in each of the two wires connected in series. We will use the formula for electrical resistance and the power consumed in each wire. ### Step 1: Determine the lengths of the wires Given: - Length of the longer wire (L2) = 20 cm - Since L2 is double L1, we have: \[ L1 = \frac{L2}{2} = \frac{20 \text{ cm}}{2} = 10 \text{ cm} ...
Promotional Banner

Topper's Solved these Questions

  • HEATING EFFECT OF CURRENT

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 7.1|22 Videos
  • HEATING EFFECT OF CURRENT

    CENGAGE PHYSICS ENGLISH|Exercise Subjective|8 Videos
  • HEATING EFFECT OF CURRENT

    CENGAGE PHYSICS ENGLISH|Exercise Thermal Power in Resistance Connected in Circuit|27 Videos
  • GEOMETRICAL OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Integer Type|4 Videos
  • INDUCTANCE

    CENGAGE PHYSICS ENGLISH|Exercise Concept Based|8 Videos

Similar Questions

Explore conceptually related problems

Two wires of the same material have length 6cm and 10cm and radii 0.5 mm and 1.5 mm respectively. They are connected in series across a battery of 16 V. The p.d. across the shorter wire is

Two wires of equal length one of copper and other of manganin have the same resistance. Which wire is thicker?

Three coplanar parallel wires, each carrying a current of 10 A along the same direction, are placed with a separation 5.0 cm between the consecutive ones. Find the magnitude of the magnetic force per unit length acting on the wires.

Two similar sonometer wires of the same material under the same tension produces 3 beats per second. The length of one wire is 40 cm and that of the other is 40.1 cm. Calculate the frequency of the two wires ?

Four wires made of same material have different lengths and radii, the wire having more resistance in the following case is

Two wires A and B of same material have radii in the ratio 2:1 and lengths in the ratio 4:1 . The ratio of the normal forces required to produce the same change in the lengths of these two wires is

A tuning fork is in unison with 1.0 m length of sonometer wire. When the stretching weights are immersed in water, the length of the wire in unison with the same tuning fork is 0.934 m. Calculate the density of the material of the weights ?

Show that the length of a wire which can support its own weight is l=sigma_b//Dg , where sigma_b is the breaking stress of the material of the wire and D is the density of the material of the wire.

Two heating coils, one of fine wire and the other of thick wire of the same material and of the same length are connected in series and in parallel. Which of the following statement is correct ?

The ratio of diameters of two wires of same material is n:1 . The length of each wire is 4 m . On applying the same load, the increases in the length of the thin wire will be (n gt 1)