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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?

a. The potential difference across each resistor is the same.
b. The resistor with the larger resistance carries less current than the other resistor.
c. The current in each resistor is the same.
d. The potential difference is greatest across the resistor closest to the positive terminal.
e. The resistor with the smaller resistance carries more current than the other resistor.