Concept explainers
For the circuit of Fig. 26-6, find the potential difference from (a)A to B, (b)B to C, and (c)C to A. Notice that the current is given as 2.0 A.
(a)
The potential difference from
Answer to Problem 42SP
Solution:
Explanation of Solution
Given data:
The given circuit diagram is
Formula used:
The expression for the potential difference across the resistance from Ohm’s law is written as
Here,
The Kirchhoff’s voltage law states that in closed mesh, the sum of the voltage drop across the resistors is equal to the sum of emf of the source.
Mathematically it is represented as
Here,
Explanation:
Draw the circuit diagram to analyse the problem:
Here, the direction of the loop is opposite to the direction of the current. Put plus and minus signs on resistors according to the direction of current, the positive sign at the entering the current and negative sign where current leaves.
Apply the Kirchhoff’s voltage rule to calculate the value of potential from
Here,
Rearrange the expression for
Substitute
Write the expression for the potential from
Substitute
Understand that the direction of the loop is
Conclusion:
Hence, the potential difference from
(b)
The potential difference from
Answer to Problem 42SP
Solution:
Explanation of Solution
Given data:
The given circuit diagram is
Formula used:
The expression for the potential difference across the resistance from Ohm’s law is written as
Here,
The Kirchhoff’s voltage law states that in closed mesh, the sum of the voltage drop across the resistors is equal to the sum of emf of the source.
Mathematically it is represented as
Here,
Explanation:
Redraw the circuit diagram to analyse the problem:
Apply the Kirchhoff’s voltage rule to calculate the value of potential from
Here,
Rearrange the expression for
Substitute
Conclusion:
Hence, the potential difference from
(c)
The potential difference from
Answer to Problem 42SP
Solution:
Explanation of Solution
Given data:
The given circuit diagram is
Formula used:
The expression for the potential difference across the resistance from Ohm’s law is written as
Here,
The Kirchhoff’s voltage law states that in closed mesh, the sum of the voltage drop across the resistors is equal to the sum of emf of the source.
Mathematically it is represented as
Here,
Explanation:
Redraw the circuit diagram to analyse the problem:
Apply the Kirchhoff’s voltage rule to calculate the value of potential from
Here,
Rearrange the expression for
Substitute
Conclusion:
Hence, the potential difference from
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Chapter 26 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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