As you mentioned that the given resistance as 1k ohm ....as it is a high value of resistance so that the current passes through the resistance via multimeter will be less ....as the voltage values are in volts then the the current flowing through the multimeter will be in Milli amps ....if the operating battery voltage values in Kelo volts then the current passing through the multimeter will be in amps then depends on the ratins provided on multimeter we can tell that the meter will be damgageor not ....but as the battery voltages are in less in magnitude so the multimeter will not damage
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