The client will not receive the same IP on Wired and Wireless connection.
Clients configured with DHCP broadcast a request to the DHCP server and request network configuration information for the local network to which they're attached. A client typically broadcasts a query for this information immediately after booting up. The DHCP server responds to the client request by providing IP configuration information previously specified by a network administrator. This includes a specific IP address, as well as a time period -- also called a lease -- for which the allocation is valid.
When refreshing an address assignment, a DHCP client requests the same parameters, but the DHCP server may assign a new IP address based on policies set by administrators. DHCP clients can also be configured on an Ethernet interface.
A DHCP server manages a record of all the IP addresses it allocates to network nodes. If a node is relocated in the network, the server identifies it using its media access control (MAC) address, which prevents the accidental configuration of multiple devices with the same IP address. Configuring a DHCP server also requires the creation of a configuration file, which stores network information for clients.
I am not a Cisco employee. My suggestions are based on documentation of Meraki best practices and day-to-day experience.
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