A vehicle having a device for acquiring and transmitting at least one measurement signal that characterizes the state of a vehicle tire, such as tire air pressure and/or tire air temperature, having at least one sensor module that is supplied with electrical energy by an energy supply device and that contains at least one tire air pressure sensor and/or at least one tire air temperature sensor, the energy supply device having at least one generator that rotates with the vehicle tire as well as at least one magnetic field generator, an electrical voltage being produced in the generator by electromagnetic induction. The magnetic field generator is situated on a brake caliper of a disc brake of the vehicle.