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The terminals of a battery are connected across two resistors in series. The res

ID: 2058433 • Letter: T

Question

The terminals of a battery are connected across two resistors in series. The resistances of the resistors are not the same. Which of the following statements are correct? Choose all that are correct. The current in each resistor is the same. The potential difference is greatest across the resistor closet to the positive terminal. The resistor with the larger resistance carries less current than the other resistor. The potential difference across each resistor is the same. The resistor with the smaller resistance carries more current than the other resistor.

Explanation / Answer

By rule, when a potential difference V is applied across resistances connected in series, the resistances have identical currents i. The sum of the potential differences across the resistances is equal to the applied potential difference V. 1) The current in each resistor is the same - This is true because the current can only go through a single route and thus through each resistor. 2) The potential difference is greatest across the resistor closest to the positive terminal - This is not necessarily true, because V = IR. Whether this will be the greatest depends on the value of R1 versus R2. 3) The resistor with the larger resistance carries less current than the other resistor - This is not true because they both have the same current. 4) The potential difference across each resistor is the same - This is not true because V = IR and you are given that the resistances are not the same, R1 /= R2 5) The resistor with the smaller resistance carries more current than the other resistor - This is not true because they both have the same current.

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