# Modern Physics: In this exercise we will express mathematically the relationships of current and voltage in parallel networks.

Please help with 7.12, 7.14, 7.15 and 7.16. See attached file for full problem descriptions.

7.12) In this exercise we will express mathematically the relationships of current and voltage in parallel networks.

7.14) (A) Refer to the definitions for series and parallel connections of elements given in section 4, The definition for a series connection of elements was given in terms of the current passing through the elements, In exercise 7.13, we found this leads to a simple mathematical relationship between the current through each element connected in series. What is this relationship?

(B) In Exercise 7.12, we found there exists a simple mathematical relationship between the voltages across elements connected in parallel. What is this relationship? The relationship is characteristic of parallel branches in circuits. It is often a less cumbersome way of describing parallel connections than that given in Section 4.

7.15) In this exercise, three students give predictions and explanations for the relative brightness of bulbs A, B, and C.

7.16) In this exercise, three students give predictions and explanations for the relative brightness of bulbs A, B, and C. Identify which, if any, of the students are reasoning incorrectly, and determine what is wrong with their reasoning.

Once again, please refer to attachment for full question details.

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#### Solution Preview

Please see the attached file.

7.12 A

V0 = V1 = V2

B

I0 = i1 + i2

Additional explanations:

Consider currents be i1 and i2 in branches and Iab as the main branch.

Then ,

Iab = i1 + i2 ................ eqn 1

V1 = i1 * r1...................eqn2

V2 = i2 * ...

#### Solution Summary

The relationships of current and voltage in parallel networks are discussed.