For sample question 28.4 on page 841, the current through each resistor is equal
ID: 1773351 • Letter: F
Question
For sample question 28.4 on page 841, the current through each resistor is equal to the total voltage difference divided by each individual resistance.
True or False
Find the Equivalent Resistance Example 28.4 Four resistors are connected as shown in Figure 28.10a (A) Find the equivalent resistance between points a andc. SOLUTION 18.0 4.0 3.012/ Conceptualize Imagine charges flowing into and through this combination from the left. All charges must pass froma to b through the first two resistors, but the charges split at b into two different paths when encountering the combination of the 6.0- and the 3.0- resistors Categorize Because of the simple nature of the combina- tion of resistors in Figure 28.10, we categorize this example as one for which we can use the rules for series and parallel combinations of resistors Figure 28.10 (Exam- ple 28.4) The original network of resistors is reduced to a single equivalent resistance 14.0 2 (t Analyze The combination of resistors can be reduced in steps as shown in Figure 28.10 Find the equivalent resistance between a and b of the 80- and 4.0- resistors, which are in series (left-hand red-brown circles): Re,-8011+ 4012 = 12.0 Find the equivalent resistance between band c of the 6.0- and 3.0- resistors, which are in parallel (right- hand red-brown circles): 6.0 3.0 6.0 6.0 = 2.0 eq The circuit of equivalent resistances now looks like Fig- R, , = 12.0 + 2.0 14.0 ure 28.10b. The 12.0- and 20- resistors are in series (green circles). Find the equivalent resistance from a to c: This resistance is that of the single equivalent resistor in Figure 28.10c. (B) What is the current in each resistor if a potential difference of 42 V is maintained between a and c?Explanation / Answer
FALSE.....According to your above statement, current through individual resistor will be voltage across that resistor divided by that resistance.Not total voltage divided by that resistance. This is all according to the ohm's law.
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